I would always back up the site files and site database during hosting server changes. I would place these backups on the other Plesk installed server I set up. It is possible to take a backup from the section I marked in the picture above and directly transfer the Baby Community to another...
I have used Plesk for many years. I will move the site named Bebek Forum from my current server to another server. I used both Plesk licensed and trial ones. Under normal circumstances, I was doing the migration by moving files and mysql. Pleskin has a hosting migration feature. Does this...