Here is what I do;
Yard cuts in a area, sorted by colors
Fat Quarters in another area, also by colors
less than FQ in a tub under cutting table (mixed mess) :oops:
strip scraps in dresser drawer (another mixed mess)
various scraps in dresser drawer (a.m.m.)
1/2" scraps in container for my fabric bowls
You will get many ideas. But only you can figure out what will work in your space. I do not have room for multiple tubs to sort my scraps by colors. So I do what I can, and it also gives me intensive to use up scraps, before the attack.
Some ideas of storage for your stash ~
closet hanging shoe storage
closet hanging sweater storage (do not over load, they cannot take a lot of weight, on my second one) :?
book shelves
dressers
tubs
have fun sorting and petting all you lovely stash