One helpful tip is to keep all your wrapping materials together, throughout the year. Have a drawer or shelf or box that’s handy, and stow them away.
Get together a supply of paper, ribbons, tape, tissue, and gift cards (plus a pair of scissors that’s attached to a long string, perhaps, so that it stays put and doesn’t wander off on a dozen other errands).
In addition, collect trimmings: fake flowers, a broken string of dime-store pearls, feathers, odds and ends of notions. You’ll be surprised at the way they can spark up a gift wrapping.