This short guide will help you move all users, databases, tables, etc from server1 (current server) to server2 (new server).
Stop the mysql service on both servers:
sudo /etc/init.d/mysql stop
Setup a temporary directory in the home folder of your user on server2. (This is because we don’t have root access remotely.)
mkdir ~/varlibmysql
On server1:
sudo rsync -axv –progress –stats [...]