With the advent of housing upgrades upon us (oh, why isn't it 2012 yet?), I had an idea to tack on with all of the home improvement wonderfulness: Why not (Zoidberg) a display case? It would show off the three items that mean the very most to your Glitch.
For example, I'd put my GNG music block, Senor Fun Pickle, and a bottle of old tree poison I squirreled away under glass.