How I migrate servers in 20 minutes
(1)
This somewhat requires you've followed my suggestions on not committing yourself to a certain host or your own DNS or mail servers, if not the extra steps might take you 10 more minutes, maybe days.
There are plenty of ways to migrate to a new server depending on how you've setup the server or your host, these are just to show the simplicity of my migrations after following the post linked above.
Step 1:
Rsync your other server's files to the new one.
SSH into your new box and run rsync to connect to the old machine through ssh. It's going to pull ...