Clever cabinetry allows for the baskets to be rolled in beneath the laundry chute, which is also disguised by a cabinet. Whoever is doing laundry can roll the full bin over to the machines, replace it with an empty bin and use the other two for sorting.
It's now time to organize by importance and accessibility. Keep basics such as white T-shirts and tanks at the front to create a foundation. Then, add in the summery transitional pieces you can still wear into fall (you'll store them as the weather gets colder later on).