Every family member gets a basket with their clean folded laundry that can be taken to their room and put away. -Could also use for each member's dirty laundry & put clean, folded laundry back in when finished.
Get dirty laundry off the floor with a laundry tower. How to at Red Hen Home. I already have a laundry sorter, but this would be great for sorting clothes as you take them out of dryer and fold them. Then kids come get their basket and put clothes away.
Four wall-mounted drying racks in a mudroom create an instant indoor drying room; recreate the look with four wall-mounted racks from Ikea. For something similar, consider Ikea's wall-mounted Grundtal Drying Rack;
Laundry room with stacked washer and dryer, plus built in dog bed. Love the grey cabinets. A simple rearrangement of task areas takes advantage of vertical space to make cleanup easier for both two- and four-legged family members