Deactivating the program from one computer and then activating it on another is easy -- though how you do it depends on which version of the program you're using.
But you seem to have something else going on. What do you mean by "I don't want to loose any of my files"?
Are you also trying to move all of your image files from one computer to another? That's also easy using the Mac Migration Assistant.
And if you've got any more specific questions, you may want to post them to the Photoshop Elements forum rather than to the Premiere Elements forum.
Ok thanks guys. I will go onto photoshop elements...lol thought i clicked on that forum.