Most importantly will be keeping the same servername; obviously ip's & dns resolution are going to be different etc. (see all the fun with changeing your servername here
ZmSetServerName - ZimbraWiki)
If you use the exact same zimbra version, you can run a new install of zimbra, then copy/scp/tar/rsync (keeping as many permissions intact as possible-though you can always run zmfixperms) your old /opt/zimbra/ to the new machine.
If you had the NE version you could use the backups, but seeing as you said 'home', I'll assume your using the OS edition.