Don't blame you for ditching Ensim - what a pile of junk that is. I just moved a bunch of clients from an Ensim machine to a Plesk machine. Our host offered to help with the move by automating the transfer of databases and directories, but after weighing the options I decided we needed to do it manually to ensure everything went smoothly.
Are you moving between servers in the same facility? Will the staff at your host assist you?
We are trying to help the client as much as we can. The KEY issue is user name which are 8+ character long , Mysql as Ensim PRO latest version still needs Manual stuff to do. However if some one have a script that can directly move from Ensim Pro to Cpanel will be appretiated.