While I am collecting fabrics for a project, I have some plastic drawers I got at the thrift store.. the bigger deeper kind, and I keep the fabrics together in one of the drawers. For smaller projects, I will use a shoebox or a smaller drawer. Once I start cutting and working on a project, I keep the cut pieces in baggies, and the scraps in a larger gallon size bag.
When I am done cutting, the scraps are sorted into one of 3 containers, and the fabrics put away if there is enough left. Now my project moves into a smaller drawer where it stays for piecing and growing up into a top!! It will live in this drawer untill it gets it's backing and doesn't fit anymore. Then it will move onto my sewing table so I can't do anything else till it is finished!!