Its better that you don't have the original box because storing that way the leather does not breathe. Some members store in the box but then routinely take the bags out of the boxes to let them breathe. I store my reissues stuffed with tissue paper then tuck the chain inside the bag and wrap a bit of bubble wrap around the handles so it does not dent the leather. In order to straighten out the base, I would recommend stuffing the bag and store standing up for a short period of time until the crease lessens then go back to storing the bags on its back in the dustbag. I also heard of storing the bags stuffed and hanging by the straps so that the base is just touching the surface (this also helps to straighten out the base). HTH