When I copy host data to other vps server?

Yes, I've moved servers a couple of times now. I initially install centminmod the same as usual to get the webstack set up, and then sync across the existing vhost config files (along with the SSL directory for the certificates). This should work without issue, as the directory structure for centminmod installs shouldn't be any different on the 2 servers.

 

Planing of moving to a new host?

1. Install the latest CentMin Mod beta on the new server (with 99% the same software you use on the old server, same version of php, nginx, mariadb, memcached, ngx_pagespeed)
2. I usually rsync the two important directory (/usr/local/nginx/conf/ and /home/nginx/domains/) So no need to re enter all the vhost/domain one by one.
3. Dump all the DB on the old server into a single folder then rsync/scp the folder to the new server then import the db.
4. Change to the new server ip using your OS host file so that you can test all the site if it's working fine without affecting other users/visitor of your site
5. When everything works on the new server, all the domains should works also. Close all your site on the old server by redirecting all the request to a maintenance page. It maybe your facebook page.
6. Finally rsync again (/usr/local/nginx/conf/ and /home/nginx/domains/) you should have just a few files to grab on.
7. Export again all the db from the old server then re-import on the new server(all of this is done via ssh using rsync and mysql dump)
8. Check all your website on the new server, be sure to set the new servers IP and the domain on your host file.
9. Reboot the server to fresh up the system
   
10. Then finally change your domains dns ip, it maybe dns made easy, namecheap dns or cloudflare dns(I myself use it )

That is a lot of steps to do but I find it the most secure and reliable way
Usually I've have done all of this 25 minutes maximum.
But I only got two websites, a wordpress site and a XenForo Forum with 150K members and 435K post, 400 to 600 visitors at a time, 6GB+ Forum files, 1GB database.
The downtime/closing the forum for final steps takes only 5 minutes I think

 

are you rsyncing centminmod's configurations too?

 

Domain vhost only.