Kids' Toy and Book Organizer

Going to take a break tomorrow from the walk-in closet project to address the disaster that is the kids' playroom/ my office.  Here's the plan, it's going to be quick and dirty. MDF, Brad Nails, maybe a Pocket Screw or 2, and Glue:

  

Description	Dimensions	Quantity
Back Pieces	35 1/2 x 24 1/4	2
Bottom	60 x 14	1
Sizes and Middle	35 1/2 x 14	3
Vertical Dividers	24 1/2 x 13 1/2	2
Horizontal Dividers	13 1/2 x 14 3/8	4
Short Stretcher	29 1/4 2 5/16	2
Tall Stretcher	29 1/4 x 6 13/32	2

The bins themselves are HERE 

Should be able to do it with sheet goods I have on hand. I may need a second sheet or a project panel or 2...  One day to build, one day to paint.  Going to keep it simple.