These cookies tend to spread, and to puff up as well. I think using a cookie cutter (other than the big shapes) would be a disappointment for you. I just use a 2.5" circular cutter for these cookies.
I think my mom made these with a circle cutter, being a lofthouse fan (they were on sale at Ralph's the other week!), I definitely don't think anything other than simple shapes would be suitable for that cookie...