Basket solution. Other than the items that must be hung up to prevent excessive wrinkling, just lay out a number of laundry baskets that are separated by category (person X's shirts, person Y's pants, person Z's unmentionables), located about waist high for convenience.

Chuck the cleaned, dry items into each sorted bin. Congratulations, you're done.

Takes a few seconds to find a specific article of clothing later but saves hours in folding and putting away.