A wireless User Equipment (UE) uses different handover types for different user applications that are served by different wireless network slices. The wireless UE executes a selected one of the user applications and selects one of the wireless network slices to serve the selected one of the user applications. The wireless UE selects one of the handover types for the selected one of the wireless network slices. The wireless UE wirelessly exchanges application data for the selected one of the user applications with a wireless communication network. The wireless UE and the wireless communication network use the selected one of the handover types for the wireless exchange of the application data. The selected one of the wireless network slices processes the application data in the wireless communication network for the selected one of the user applications.