If you have a burner ( CD writer or DVD writer) that is your best most efficient way to save your files to transfer them. If you cant or dont have a burner the other options are the old fashioned Floppy drive back up which would take you dozens of floppies to save your files to. OR there are free storage sites online that you can upload your files to then download them on to your new system once it is online.

Hope that helsp