I used to store a major part of my stash in large plastics but after travelling a bit and storing suitcases, thought why am I storing suitcases in suitcases? So........in went the fabrics and when I am out of storage , I pop into thrift stores and buy suitcases--nice ones, small medium or large for a VERY reasonable price, wash them, then when dried store more fabrics. I separated them by color -but now future stash is quite messy-- and the suitcase rollers and handles make it very convenient to move without to much strain. No trouble with gremlins so far and it's been many yrs.
And the suitcases are "breathable".