Your wedding does not end right after the reception. The day following the exchanging of vows is traditionally when the gift opening is held. This gathering often takes the form of a champagne breakfast, light brunch, or afternoon tea. The gift opening can take place in a variety of locations, from the home to the hall where the reception was held.
When opening the gifts, have someone record who each gift is from (usually the maid/matron of honour), to ensure that all gift givers are properly thanked.