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Do you have
CPanel installed on your host's server?
If you do, you could choose a new host which has the same CPanel, and simply download a back up of the home directory and DB (yes, XOOPS uses a database. Usually MySQL) from your current server and upload them to your new server.
Don't forget to find and make a note of your db username and password.
Never let a man who does not believe something can be done, talk to a man that is doing it.