It's the agitation of washing on a regular cycle that causes both raveling edges and knotting fabrics (which causes wrinkles that then set in the dryer). Wash your fabrics on a gentle cycle and all those problems will be greatly reduced or entirely eliminated. New fabrics don't need a full cycle. Snip any long threads and open up all the fabrics before putting them in the dryer and you'll be surprised at how 'ready to fold' they come out when dry.