The invention claimed is:1. A base station comprising:a memory storing instructions that when executed by a processor causes the processor to:acquire first information indicating one or more other base stations, which are candidates for a handover destination of a terminal device currently in connection with the base station;acquire second information regarding communication quality predicted in a communication through a candidate base station for each of the candidate base stations based on the first information, wherein the communication quality includes a communication delay; andnotify the terminal device of third information regarding the communication quality including a predicted value of the communication delay for at least one of the candidate base stations based on the second information; wherein the third information regarding the communication quality including the predicted value of the communication delay is used to determine a target base station from the at least one of the candidate base stations for a handover of the terminal device to the target base station, wherein the predicted value of the communication delay of the target base station does not exceed a predetermined value.2. The base station according to claim 1, wherein the terminal device is notified of the third information by medium access control (MAC) signaling or radio resource control (RRC) signaling.3. The base station according to claim 1, wherein the first information comprises a measurement report of a radio quality by the terminal device.4. The base station according to claim 1, wherein the second information is acquired from the one or more candidate base stations through an X2 interface or an S1 interface.5. The base station according to claim 1, wherein the second information regarding communication quality comprises a measured communication quality in a communication performed in the past in each of the one or more candidate base stations.6. The base station according to claim 1, wherein the second information regarding communication quality comprises a measured communication quality in at least a portion of a communication path of a communication between the terminal device and a communication opposing device of the terminal device.7. The base station according to claim 1, wherein the third information indicates a degree at which the communication quality is suited to a predetermined function of the terminal device.8. The base station according to claim 1, wherein the processor, operatively coupled to the memory, is configured to: notify the terminal device of the third information if the terminal device is a predetermined type of terminal device.9. The base station according to claim 1, wherein the processor, operatively coupled to the memory, is configured to: determine whether the terminal device is executing a predetermined operation, and wherein the terminal device is notified of the third information when the terminal device is executing the predetermined operation.10. The base station according to claim 1, wherein the processor, operatively coupled to the memory, is configured to: notify the terminal device of the third information of a mode corresponding to a predetermined type of the terminal device or a predetermined operation being executed by the terminal device.11. A terminal device comprising:a communication circuit; anda memory storing instructions when executed by a processor causes the processor to:acquire from a first base station connected for communication through the communication circuit, for at least one of one or more other base stations, which are candidates for a handover destination of the terminal device, information regarding communication quality predicted in a communication through the one or more candidate base stations, wherein the communication quality includes a communication delay;determine a target base station from the one or more other base stations based on the information regarding the communication quality including a predicted value of the communication delay, wherein the predicted value of communication delay of the target base station does not exceed a predetermined value; andnotify the first base station of information for executing a handover of the terminal device to the target base station based on the information regarding the communication quality including the predicted value of the communication delay of the target base station.12. The terminal device according to claim 11, wherein the information regarding communication quality from the first base station is acquired by medium access control (MAC) signaling or radio resource control (RRC) signaling.13. The terminal device according to claim 11, wherein the processor, operatively coupled to the memory, is configured to: measure radio quality of radio signals transmitted to the terminal device from each of the candidate base stations, and transmit a measurement report to the first base station to trigger a handover of the terminal device to one of the candidate base stations.14. The terminal device according to claim 11, wherein the information regarding communication quality comprises an actually measured communication quality in a communication performed in the past in each of the one or more candidate base stations.15. The terminal device according to claim 11, wherein the information regarding communication quality comprises information indicating a degree at which the communication quality is suited to a predetermined function of the terminal device.16. The terminal device according to claim 11, wherein the information regarding communication quality is information of a mode corresponding to a type of the terminal device or an operation being executed by the terminal device.17. The terminal device according to claim 11, wherein the information regarding communication quality comprises a measured communication quality in at least a portion of a communication path of a communication between the terminal device and a communication opposing device of the terminal device.18. The terminal device according to claim 11, wherein the memory storing instructions when executed by the processor causes the processor to: acquire the information regarding communication quality from the base station if the terminal device is a predetermined type of terminal device.19. The terminal device according to claim 11, wherein the memory storing instructions when executed by the processor causes the processor to: acquire the information regarding communication quality from the base station while the terminal device is performing a predetermined operation.20. The terminal device according to claim 19, wherein the memory storing instructions when executed by the processor causes the processor to: notify the base station of information on the terminal device.21. A computer-implemented handover method executed by a first base station, the method comprising:acquiring first information indicating one or more other base stations, which are candidates for a handover destination of a terminal device currently connected to the first base station;acquiring second information regarding a communication quality predicted in a communication through a candidate base station for each of the one or more candidate base stations based on the first information, wherein the communication quality includes a communication delay; andnotifying the terminal device of third information regarding a predicted value of the communication delay for at least one of the one or more candidate base stations based on the second information, wherein the third information regarding the predictive value of the communication delay is used to determine a target base station from the at least one of the one or more candidate base stations for a handover of the terminal device to the target base station, wherein the predicted value of the communication delay of the target base station does not exceed a predetermined value.22. A computer-implemented handover method executed by a terminal device, the method comprising:acquiring, from a first base station currently connected to the terminal device, for at least one of one or more other base stations, which are candidates for a handover destination of the terminal device, information regarding communication quality predicted in a communication through the one or more candidate base stations, wherein the communication quality includes a communication delay;determining a target base station from the one or more other base stations based on the information regarding a predicted value of the communication delay, wherein the predicted value of communication delay of the target base station does not exceed a predetermined value; andnotifying the first base station of information for executing a handover of the terminal device to the target base station based on the information regarding the predicted value of the communication delay of the target base station.