I have mine in the playroom as well (though it's right next to a bathroom so it's the most logical spot). I just got the really cheap one from ikea (this one: http://www.ikea.com/ca/en/catalog/products/50197589/ ), and put baskets to hold each of their diapers and change of clothes. Creams and stuff I don't want them getting into go in a shelf above where they can't reach.

I'd just stick a bottle of hand sanitizer on the shelf too, just in case something happens (like monster children, for example) between the changes and hand washing.