I have an open bin where I put my FQ's and cuts that are folded using the ruler method too. I put my larger cuts on foam board and they are on a shelf. My current fabrics being used in projects on the table, are ironed and hanging on hangers so I can access them and see them as I go. I use clear containers to hold my scraps. I also have a three basket rolling cart thing, I use it for scraps, and precuts. I can just roll it out or pull the basket and put it where I can use it as I go. Very large cuts or bulky fabrics are folded and stacked on the shelf.
I have a walk in closet in my craft room, dh put floor to ceiling shelfs on each wall, one side is for sewing and fabrics, and the other is for scrapbooking... This all works for me.