Judy, I just want to mention that cardboard boxes contain acid that will eventually discolor and eat into fabric. Since you are protecting your fabrics from light, you may also want to protect them from the acid. Spraying the inside of the boxes with polyurethane would probably work, or lining the boxes with muslin so that the other fabrics are not in direct contact with the cardboard.
This is true of cedar chests and everything made out of wood, including tissue paper. Archival quality boxes and paper used for storage of photographs has had the acid removed, but this makes them relatively expensive.