Defined at the IETF, the Mobile IPv6 protocol allows a single mobile node to keep the same IPv6 address independently of its network of attachment. It was recently enhance so as to augment its applicability. One of these extensions, NEMO, NEtwork MObility makes it possible to move a whole network, such as sensors deployed in a car, in the Internet topology. On the other hand, Proxy Mobile IPv6 provides Mobile IPv6-like services to standard IPv6 nodes. While these three protocols are actually heavily supported by the industry and deployed in 3GGP2, WiMAX and ITS, they suffer from several performances issues. Most of them are caused by the Home Agent, a specific router located on the home network, that hides movements of mobile nodes to their correspondents. The restricted position of the home agent is responsible for longer communications delays and higher path lengths. In one of our previous work, Home Agent Migration, we described how to significantly reduce these issues by deploying multiple home agents in the Internet topology. In this paper, we discuss the possible extensions to this specific architecture in order to support and enhance NEMO and Proxy Mobile IPv6. Furthermore, we analyze Home Agent Migration in terms of security so as to provide detailed guidance for secure real life deployments and safe usages.