Do this with ikea rod and buckets/baskets!
Boori 'Lucia' change table & dresser with mint gr een storage compartments. After looking everywhere for suitable baskets, I managed to find the best ones at the Reject shop! They fit perfectly.
DIY Projects Rustic Grey Changing Table Brag from Ana White
Rustic X DIY Changing Table Plans (but I think this would be a great behind the sofa table if you made it longer and not as deep.
Project Nursery - Pegboard Changing Table Organization in Boy Nursery - Project Nursery
Like the nursery colors Baby Relax Emma Crib and Changing Table Combo - Overstock™ Shopping - Great Deals on dorel asia Cribs