My hamper holds 3 loads. The first goes into the washing machine, when it goes to the dryer the second load goes into the washer, third goes onto the floor in front of the washer and the dryer empties into the hamper followed by the now clean and dry loads.
I pick from that hamper until it is empty. I am 42 and have done it this way since I was ten, doing my own laundry.
Why change a system that works. The floor is my hamper until the actual hamper is empty of clean clothes.