I rolled them out thick, like 1/4 inch, and baked them on parchment paper. It worked out really well. The key to making cookie cutouts is making sure the dough is thoroughly chilled. The recipe I used said to place the cut out raw cookies in the freezer for 15 minutes before baking.
Cookies should normally be cooled on racks meant for that purpose but I don't own any so today I invented a new way to cool them: pull the entire sheet of cookie-topped-parchment paper off the pan and place on top of the cookie cutters. Yes! I was happy with this idea and thought myself a regular genius.
After they cooled, I decorated some with simple royal icing. We will decorate the rest tomorrow, Raquel and I. She's gonna have a blast! I think I'll put on my old Christmas records while we do it.