I've had success with my Cricut....but, the main problem I have is handling the paper-thin pieces after cutting.

When it's on a square cake, it's no problem because I can dry them flat, but when it's a round cake and the cut-outs have to be fresh and flexible, I've had trouble with the pieces stretching and tearing.

Any suggestions???

Have you tried the tool kit they sell for the regular cricut? It has a really thin metal spatula you can use to lift the cut out pieces.