My fiance and I are in a big debate on this topic. Neither of us want the following:
1) Our parents to be responsible for getting the gifts back to our apartment, they've done too much already.
2) To tell our wedding party they can't drink so they can drive our gifts home.
3) To leave the gifts at the venue. They're not open the next day, and god only knows what could happen to them.
4) To take the gifts home ourselves. Or with us to the hotel.
Neither of our families live in town, so they will all be staying at a hotel as will pretty much all of our guests. I thought maybe we could hire someone's kid brother or something like that? At this point I'm willing to pay someone to make this battle go away!