Here are some basic steps...
Make the two servers part of a cluster.
Verify replication is configured properly for the cluster, now they will automatically sync.
When migration time is here...
1. Stop the Domino Service on both servers
2. On the OLD Server
a) Copy server.id file (Default name is server.id may be called something else based on administrator)
b) Copy notes.ini for future reference (Mainly interested in scheduled tasks to verify all processes needed are running on new server)
c) Change NIC IP Address from Static address to DHCP (Avoids IP conflict if you need to bring the server online for some reason post migration)
d) Disable the Lotus Domino Server service (Same reason as above, do not want domino starting )
e) Shut down the server
3. On the NEW server
a) Archive server.id then place server.id copied from OLD server in its place
b) Verify notes.ini settings paying attention to scheduled tasks and also the name of the server.id if they were not default names (You will need to change possibly the KeyFilename and/or ServerKeyFileName or any other entries that reference the server.id)
c) Change NIC IP Address to OLD servers IP Address
d) Reboot the server
4. Cleanup Address book breaking the cluster and removing all instance of the NEW server name so only the old server name remains.