For the past year or so, I've been cutting my fabric bits into confetti size pieces to use around my plants as mulch.
As I trim squares, I scoop the pieces into a pile and when done trimming, cut through the pile in several directions. They then go into a small waste basket under my cutting table until there are enough to put under the plants.
We have some of the most colorful bird nest around since they love my homemade mulch too.