How is your fabric stored now? I have mine in a cupboard on mini bolts. It was in several plastic totes before and I would paw through it find stuff. Not only do the mini bolts take up less room, I can see what I have.
I would keep my fabric in the house and move other things to the garage. Do you have a dining room with a china cabinet? Get rid of the fancy dishes you don't use any more and put your fabric in there.