The simplest option is to use the "Full state backup and restore" process documented on this page:
https://www.multichain.com/developers/backing-up-restoring-nodes/
Except you'd be restoring the node to a new server, rather than the old one. If you move one node at a time, it will automatically connect to the previous ones and then make them aware of its new IP address, since the other nodes' IP addresses are stored on disk.
But if you move them all at once, you can use the addnode command to reestablish connections.