These dies work great using the thin die sandwich in the Cuttlebug. Stamps with matching dies is the right answer... I will be watching for more designs.
I do wish the different sized shapes were closer together so that the larger one would make an attractive shadow for the stamped shape. For example, I'd like to stamp and cut the "Love" design, and cut another shape just barely larger from cardstock to use as a shadow. The sizes that are provided just don't make a nice looking shadow for these shapes.