I rent and like, you, I prefer the look of things tucked away. My solution, since I know I won't be able to buy for a long time, is tall cabinets. I have one right now and am looking to purchase another. For illustration, look at this cabinet:
http://www.amieroman.ca/works/plover...s.w450h450.jpg
Mine looks something like that. I store alterables and other things in the bottom cabinet, use the top surface for my Big Shot and have a basket of dies next to it. Then, on the top, since I unmount all my stamps into CD and DVD cases, I got baskets to fit in the top section and all the baskets hold my stamps. That way, everything is contained and neat looking but it's in a stand-alone cabinet that I can take with me from house to house and don't have to worry about leaving holes, a mess, etc.
Mine is small and narrow like the one pictured. I didn't know if I'd like that system so I went small first. Now I wish I would have spent the extra money and gotten a bigger one, like this:
http://www.cherrycraftsman.com/Dinin...iningPic01.jpg
The best part is, I found mine on Craigs List for cheap because it was scratched up. So, I simply sanded it down and painted a fun purple color (kind of SU! Perfect Plum). Cheap, cute and I think it's pretty versatile!
Hope that helps!