Prism's comments about the big deep boxes are bang on ... plus you lose fabric in them!
Those big deep ones, might be perfect for along your bottom shelves to put magazines in, or other bigger more awkward things to store. And then you can pull them out to the floor, like drawers!
It may seem like a lot of $ to do it right, but do so!! ... you'll b rewarded with SO much storage. What we can see now will take only a small portion of your shelving ... and you'll have room for even more additions to your stash!
We've seen the before ... so now we ll want to see the after!