Stace, that's so funny, I asked the same thing a couple of months ago!
I have a BigKick and it doesn't seem to do the job. It could be because the blades in my shapes are so dull from scrapbooking, but I just don't think that it's good on felt. Some of the ladies in the US use a stiffner on felt and then cut it, but I think that defeats the 'look' that you're trying to achieve. Up to you though.
Gena