You can do plesk to plesk migration easily using the plesk migration wizard. You can see the “Migration Wizard” under “Server Management -> Tools & Utilities ” . If there is no such tool available please install it using /usr/local/psa/admin/bin/autoinstaller
Now login to the plesk admin panel in new server and click the “Migration Manager” , this will ask you for the ssh root logins to the old server. No click the next button and start the migration procedure .
Some tips before starting migration :