Maybe you already thougt of this!!!
If you don't mind a couple of suggestions for you dressers in the future.
The dividers between the drawers should have 1/4 inch plywood inside the frames you made. This keeps stuff sticking up out of the drawers from interferring with the drawer above. These will also give you more stiffness so the dresser doesn't rack when you move it.
Also, I've found that lap joints at the corners of the frames and particular attention when gluing them up to get them square, saves lots of time later in the project. It also makes for a stronger frame.