Buy as many wrinkle-free clothes as possible. Fabrics made to not wrinkle still may wrinkle somewhat if not properly looked after, but they go a long way toward taking clothes wrinkle-free out of the dryer.
Shake out all pieces of clothing before you put them in the dryer so they aren't tangled up or folded in on themselves.
Run the dryer on permanent press for any clothing that is labeled as such.
Take the clothes out of the dryer as soon as the cycle is finished.
Use a wrinkle-aid product if stubborn wrinkles persist in clothing.