I can totally relate to your situation. It helped me to have shallow tubs or bins so the fabrics are all visible and I don't have to dig. They are clear so I can see what's in there. When I use the deep big bins, my fabric gets trashed and it takes time to put it back together! Still have one large tub to hold the big cuts, and, looking at it right now, it's a wreck. The shallow ones look great!
Good luck! BTW: one of my boys is in Troy for his college career. Beautiful area. We went hiking in the Catskills last fall.