Animating a static, commercial snowman

So you went to your local home improvement center and picked up a wire frame snowman, and when you plug it in, it glows nice and bright but it just stands there. And you want to make it interact a bit more with your viewers by adding motion. It's not as hard as you might think, but it does involve a bit of DIY engineering, and often it's the one-of-a-kind-I-hope-I-never-have-to-do-this-again kind of engineering.