Things are not going to happen automatically. 4play already expressed that.
So, in case there isn't already something worked out with anyone else I would suggest f.e. to amigamia to contact 4play in a pm and ask if he is ok for the one that wants to do it and ask 4play to backup his database (using the host software, the SMF documentation mentions not using the SMF backup function), the forum files and I assume the admin password for the SMF forums (or ask if he could add another user with equal admin rights to take over the installed SMF) and have all required information and files accessible somewhere. That is unless 4play wants you to do the backup yourself as well (in which case more/other details of the current hoster are required)
The destination requires LAMP, a database used for SMF and a user that controls that database. Then restore the original database to that, then the forums files, and run the repair script (note that there are specific instructions in which order to do that) and you should be done (in theory).
I got SMF running on my LAMP server but haven't come around yet making a backup and restore it to another LAMP server in order to see what issues you might be able to run into.