When selecting fabrics for a quilt, I gather them and put them in a bag - gallon size for a smaller quilt. For larger projects, i just stack the fabrics and leave them on my project table. (Note that these are never in the bag for more than a week)
As I cut the fabrics, I put them in appropriate size bags along with the pattern (cut listing).
Once pieced, I fold them nicely and set them on my project table to wait quilting.
I do have a few quilt tops awaiting quilting, so I have placed them inside a comforter bag (you know those square platic bags with a zipper that store bought comforters come in).