Well, the easiest way to organize fabric is to buy only what you need for the project you're working on. Of course, that means you only work on one project at a time - which doesn't happen in my house.
I have a glass door china cabinet (purchased from a thrift store) to store fabric in. It works, but that 'neat' thing - well, it isn't! (It seems I'm not capable of long term neatness.) But I can see the fabric without searching through tubs.