Hi!
It’s great that you’re doing so much research before you get a bunny. In the BUNNY INFO section of this site there’s lots of great background info on diet, vets, bonding, litter training and housing, which i recommend looking through for a general idea. I think there’s also some examples of great homes for bunnies. I don’t mean that you shouldn’t ask questions – please do! But I think you’ll also find lots of useful info there.
I think this is something that your husband is going to have to compromise on, as rabbits do need a lot of space. While unfortunately lots of people do keep rabbits in tiny cages, it shouldn’t be considered the norm, and a permanent exercise space is needed to give a bunny a good quality of life. Just as you wouldn’t keep a dog or cat in a small cage and let it out for exercise occasionally, a bunny is the same. I’ve attached a link, which shows the minimum amount of space that a bunny should have access to. As a basic guide, they should be able to stand up on their hind legs without their ears touching the ceiling, they should be able to lie across it width ways, without touching the sides, and they should be able to do at least four big hops across it.
http://www.therabbithouse.com/guide_size.asp
While additional levels are nice, they should be an addition rather than instead of floor space, as rabbits need to be able to stretch their legs and jump across a large space, which they can’t neccessarily do in a smaller space over more levels. If you watch some videos of rabbits binkying, you’ll see why they need lots of space!
For flooring, you can use a variety of things, but you’re right, rabbits do find some flooring slippy. Firstly, I would point out that most plastic bottom cages you find intended for buns are far too small. My rabbits have a spare room which has a wooden floor, and a few rugs and fleeces scattered around, plus paper pellets in their litter trays. Fleeces and small rugs that can be put in washing machines easily make good floor options. Lino works. I’ve not heard of upside down tiles, but I guess it could work. It’s important that they have soft areas though, as they are prone to getting sore feet if they don’t have anything soft to lounge on.