Hello!
Is you're bunny neutered? I am assuming he is a boy because of his name
. How old is he? Is he currently litter box trained?
I really like NIC cages because they are easy to build, cheap, and you can build them to fit any space. They stay pretty clean if you're bunny is litter box trained. I just take a shop vac and vacuum up all the hair/stray poop/hay every few days.
You can go to a sign shop (or order off of ebay) sheets of coroplast. This is "plastic cardboard". I use this for the base of my NIC cages because you can fold it to have 3" sides to keep hay/hair/poop in the cage and it can also be cut to fit the shelves of a nice cage (just zip tie it down). You will need some duct tape (you can get it in a color to make the coroplast) to duct tape the folded sides together.
This site has good information on how to cut coroplast and put together a cube cage.
http://www.guineapigcages.com/howto.htm
^ I put my grids inside of the coroplast base, so my bunnies can't chew down the sides.
You will want to make a cube cage at least 2 cubes high for rabbits. Tops are optional, depending on you're design. You can check out the NIC cages threads on this forum stickied to the top, for ideas.
For bedding...I just give my bunnies a towel or a piece of fleece to snuggle up on. You can also use a carpet reminent...but be sure the bunny isn't chewing/eating it.
For litter...I use wood stove pellets or a pelleted litter from my local grain store. Wood stove pellets can be bought at Ace/Home Depot/Walmart/etc in the cooler months. Just check the bag to make sure that they aren't treated with chemicals. I really like the wood stove pellets because they put off a "woody" smell, which makes any pee smells not noticable.