If you have a spare bed, you can simply drape them, stacked, on top of the pillowless bed, cover them with a sheet and close the door. No cat dander, no dust, no wrinkles, no folding, no musty smells, no problems. Rolled quilts do wrinke and stretch a bit if stored that way because the inside (top) is compressed more than the outside (back). Conservators here recommend storing quilts fanfolded with rolled muslin or archival tissue paper in the folds and refolding every 6 months, but I don't imagine yours will be in storage long enough to warrant that intensity.