I purchased some command Command Decorating Clips, Clear, 20-Clip hooks and measured out between the slots in the baskets. Here is what it looks like all assembled:
These baskets were lightweight and sort of angled in toward the bottom so they did not lay horizontally when hanging on the inside of the door. I ended up just putting some cotton balls between the basket and the door. You can just see them in the picture above. Here's what it looks like without the baskets:
Of course, these baskets can't hold anything item that is very heavy, but it does make more use of the space inside the closet. I have some travel sized toothpastes in one and some travel sized tissues in another.
Here is what the finished door looks like: