With GooTool 0.10.2 or later, you can find "Backup Profile" and "Restore Profile" buttons on the profile tab. This enables you to backup your profile to this site and then restore it later to any machine (including a different platform).

If those buttons are greyed out, first go to the Options tab and enter your goofans.com username/password and click Login.

To do this manually, the profile is stored in a file called "pers2.dat". Check out the first section of this page for where this file is located on your computer.