of your laundry room and some further details I would be happy to shoot you a ballpark.
shorten laundry shoot and be able to put basket there?
table to fold/put laundry baskets underneath
Folding table with dirty laundry baskets underneath
dirty laundry. Label each basket, use two different colored baskets, or paint the handles of each basket different colors, such as white for the whites basket and a bright color of your choice for the other.