Rolled sugar cookies I

I just made Christmas cookies using this recipe from allrecipes.com. They turned out OK, they taste great, but they are very delicate. So far all but two (a star and a Xmas tree) have broken. It may be because I made them too thin, or because I’ve taken them off the cookie sheets while still warm (I’m letting the last two batches cool before I take them out), but this did not happen with the rolled sugar cookies I made for Halloween – I just wish I knew what recipe I used (thus the point of this post, this was not the recipe I used last time).
I halved the recipe, btw, and it made about two dozen HUGE cookies.
I will probably make another batch of Xmas cookies in the next couple of weeks, hopefully they’ll work better.