In 2014 we moved to a 2 story house that needed more work than I was anticipating so our stuff went into storage for 4 months and we lived in a residence inn. When we packed my fabric, DH did not want me to pack all of it in plastic bins (the ones you buy at Costco in groups of 2 or 3), so I packed half in plastic and half in book boxes from Home Depot with plastic liners. Then, last year I had both knees replaces do we left the boxes in the garage. If you use cardboard, don't use anything larger than book boxes (because of the weight) and label the boxes on the side as well as the top and make sure you label them so you know exactly what is in them. I had some grand children help and they just wrote "fabric" which does not help if you are looking for special fabric (like I am doing now). If I had it to do over, all of the fabric would be in plastic bins with good locking lids.