Inspiring Quilters, Stitch by Stitch
Sandra, l used to work at a dry cleaner's place .They have boxes with window in front meant for storing wedding dresses as keepsakes. They are just the right size, and also acid free, so the quilt would be ok for longer time periods as well. You can buy just the box, but you need to find an actual plant, not a drop-off depot.
I use to buy gift boxes from the container store. Just do a search on google for the container store and search for one near your zipcode.
Use a laundry basket... then they have that to take to the laundromat