I was finally able to get the Closetmaid 9 Cube Storage Cabinet after a few months of waiting for it to go on sale. It was easy to put together and took maybe 45 minutes total.
In the before picture, I used a shoe storage cabinet with some shelving removed to make room for the cloth baskets. In the after picture, the new cloth cubes hold much more than the old cloth baskets and thus more can fit in a smaller space. What took the entire area in the before picture, only needs the space of the new 9 cube storage area. I am going to leave the 2 corner shelf units in the area for now, but I don’t know if I will even need them. I think they will be finding new homes.