The current Internet architecture was designed more than 30 years ago for a very different set of services than those used today. Several new architectures have been proposed for a Future Internet to better meet todays and future requirements. Content Centric Networking (CCN) is one of those new architectures gaining worldwide attention by researchers and the focus of this article. CCN is based on naming content instead of hosts allowing routers to cache popular content. It has been shown that CCN can also support point-to-point real-time conversations, for example voice or video calls. However, it has not been defined how node mobility can be achieved in such a real-time scenario with strong time constraints. In this paper a close study to the handover algorithms has been carried out. A handover decision maker, which is based on neuro-fuzzy system (NFS) is proposed and evaluated. The results show that the proposed decision maker meets the design targets.