First of all, get some of those clear plastic hangers the no frills ones--no hooks or clips for shirts, blouses and WITH hooks for skirts and pants. Wash them on delicate, cold. Then, when you are drying the clothing, use the low heat, perm press on the dryer. Watch them closely. As the wrinkles are removed, so is the excess water, which is why clothing gets heavy and stretches out when it is put on hangers too wet. Remove clothing to hangers while it is still damp, wrinkles lessened or gone and not so heavy that they stretch. The hangers also help his shirts not get 'hanger horns' on the shoulders like they do with those tubular plastic hangers..
Clothing marked 'dry clean only' should be. Many of mine and my husbands clothes r marked that way. After a few cleanings they get a 'dry clean smell'. So, I wash them on cold, setting for delicates. After they dry, then they go to the cleaners to be pressed. If they r dripping wet hang them over a plant, a bucket, in the shower or over the tub, or even outdoors. But, fold these delicates and hang them over a hanger or whatever way u can find. There are folding wood and metal drying racks available that are perfect for this.
my experience, trial and error and many years to practice.