I thought I would share my new solution, which arrived today. (The old solution was begging to use my kid's storage bins in exchange for letting her play with the DF as much as she wanted.
It's a flat-file coffee table. Dimensions are 50"W x 20"D x 18"H and each drawer is 2.5" tall.
I previously had the DF packed into ~17 tubs -- mostly IRIS 6 qt storage boxes and the aforementioned toy bins. Those are not a bad storage solution either and very cheap, but the problem is they're not really efficient unless you spend time organizing the pieces to fit them in a double layer, and it was a pain for me to haul the bins out of the chest I was hiding them in because they're not attractive.
This table holds everything out of those bins, in a single layer, is very easy to pack and look over, also has room for my KS4 towers, and I have room left even beyond that. (Which is good, given the size of my KS5 pledge. Not throwing out the bins just yet...) It does NOT hold the tower bridge walls or the bridge of sighs, and a few bits from Erinthor and the cavern stalagmites have to be tipped on their sides but otherwise everything works. Floors are packed 5 deep.
It's a custom table from ModIndustrial
on Etsy -- I highly recommend his work if you want something similar. It's a pricey purchase, but the collection inside did cost more than the table outside. (Although possibly that means I have too much DF.)
Only downside: small child complaining because she doesn't like the style. Everyone's a critic.