Current IP-based networks are unable to fully exploit the capabilities of the increasing number of multihomed mobile terminals. We argue that Content-Centric Networking (CCN), a novel networking architecture based on named information objects, can fill the gap. In this paper, we elicit requirements for CCN packet forwarding on multihomed mobile terminals. We categorize CCN forwarding strategies according to their ability to fulfill these requirements and provide a real-world performance evaluation in the current CCNx prototype implementation. Moreover, we describe the initial design of an advanced multipath forwarding strategy.