Is it going to be coming out of the cage to play in the surrounding area? If so I would just fill the area with toys suitable for bunnies, you can go to your pet store and they should sell plenty of toys, cardboard is usually okay, untreated wood is good for them to chew on, preferably not pine as I’ve heard I can cause them liver damage, I don’t know how true that is but better safe than sorry! Remember they are herbivores, they like lots of hay, good quality high fibre pellets and some greens like kale and spring greens. I’d keep wires well away, anything toxic away, and anything you don’t want destroyed away, incase you have a destructive bunny like myself! Mine is aloud to free roam the house which has carpet and laminate and vynil flooring and lots of other people have their rabbits in rooms with carpet aswell, I just put blankets down so he’s not tempted to rip the carpet up, I think they find it difficult to walk on laminated flooring. Plastic bottom and metal wire cages are usually the best type just because they are easiest to clean, a wooden cage isn’t bad they would just eat it and and it would probably soak up urine. I have mine a holiday hutch at my parents for when I visit and I spend about 30 minutes scrubbing it clean when it’s due for one! My plastic cage at home takes not even 10 minutes to clean! I don’t know how big chinchilla cages or carriers are but I have a mini breed and I use a cat carrier for him so anything that size or that he an comfortably lay down and stretch in is fine for a travel carrier, and your cage needs to be at least 6 feet wide and tall enough for the bun to stand up, however if it’s spending most the time in the cage personally I’d get one quite a bit bigger than that, or one with 2 or three floors so it can properly move around If you can keep your bun indoors personally I would say that is best, although rabbits can have long happy lives living outdoors if it’s inside it’s shielded from weather extremes and predators, also if it’s a single rabbit I would strongly advise keeping it indoors so it doesn’t get lonely
if you want a mini breed of rabbits have a look at Lionheads, I’m in love with little lion head bunnies and they are one of the smallest breeds! Netherland dwarfs are also tiny and cute !