My siblings and I are all adults, and fortunately always manage to make it back to my mother's house for Christmas. My mother designates one bedroom as the gift wrapping room, where she keeps paper, but more importantly bags and boxes. We take turns going in there to "wrap" our presents on Christmas Eve.
Then on Christmas day, we open up the gift bags and boxes, fold them back up neatly, then deliver them back up to the gift wrapping room, so we can use them again next year.