If you plan on selling your pieces at a later date, then by all means keep the boxes and foam insets for shipping your pieces. If you do not intend on selling any of your pieces, then discard the foam inserts and flatten the boxes out and this will take up a lot less storage area. Should you have to sell your pieces because of an unforeseen reason, then you can go to a shipping store and buy foam peanuts/plastic bags to pack the pieces in. The foam inserts are not what is valuable, the boxes are the important item. HL used to ship in peanuts at the beginning until they found foam prevented less breakage.

Rich