I modified the laundry basket dresser that you made. Here's the end result :)
I allowed the baskets to hang out farther that the side due to limited space for the built in "cabinet." You can not see it in the photo, but we then wrote "dirty" in red on one end of each basket so that I know easily which baskets contain clean unfolded clothes and how much laundry I still need to do. Each person has their own "hamper" basket in their room that gets put into here when it's full and they replace it with an empty one from the rack. It's been working like a charm!