Realized I probably should've clarified after I posted, haha. The room we have for racks is on the side of our living room. Since the rodent rack would only have a slightly larger footprint than that of a concrete mixing tub, it'd be easy to fit it along the wall behind an open backed shelving unit (some strange modern-y thing my mom gave us, but would hide it mostly while still keeping a good amount of ventilation)with the tubs facing out to the side for access.
Edit: I suppose I should add the rack I'm looking at is said to have dimensions of 22 x 28 x 62. Pushes the shelving unit out some but it's also almost a perfect fit for a filing cabinet we have on the other side