The kids were great kitchen helpers, and thanks to a crazy-easy recipe the Cheesy feet (and hands!) came out much as anticipated. The result is something like a slightly cake-like goldfish cracker.
Here's how you can make your own (modified from the original at NPR):
4 oz. Cheddar cheese, grated
1.5 T butter
1/3 c flour
1/4 t baking powder
Put all of the ingredients into a food processor and blitz until the dough comes together (it eventually will become quite like play dough). When it does, form into a fat disc, wrap in plastic wrap and refrigerate for 15 minutes. When the dough has chilled long enough, preheat the oven to 400˚ F and line a baking sheet with parchment paper. While oven heats, roll out the dough between sheets of wax paper to roughly 1/8-inch in thickness, and cut out hands and feet with cookie cutters. Re-roll the dough to continue cutting out hands and feet until it is all used up. Put cut-outs onto lined baking sheet and cook in the oven for 10 minutes. Give them a few minutes to cool, then serve.