What a fabulous item! I have a suggestion about those drawer bottoms. If you don't want the hassle of cutting wood to fit, you might try something I saw it in a blog on updating antiques and thought was terrific.
Cut foam core board to fit and cover it with fabric. Each time you open a drawer, but will see something cheer-y rather than just a piece of wood. One sheet of foam core will be more than enough.
Enjoy your new find!