I have welded netting, size of squares 19 mm, on the sides of my out-doors hutch (it’s not in use anymore since the outside isn’t safe for bunnies here due to human predators). The problem with chicken-wire is that it’s made from a continous thread of wire. If a bunny or a predator chews off the wire in one place, the whole net easily comes un-wound (un-netted). With welded net, a lot more chewing is required + the wire is tougher. I don’t know what it’s called in the US, here it’s sold as mink-netting (protects against minks and ferrets etc) or welded netting. For indoors use (where there are no minks etc) the spacing can be bigger than 19 mm but it must be so small the bunny can’t get its head through it even if he/she pushes hard.
If a bunny is bored or just gets the idea into its little head, it may very well chew on wooden frames. As long as the wood isn’t treated with sth toxic, that is ok, but it may not look pretty. And it of course means you need to use rather hefty pieces of wood.
Wire bottoms must be avoided unless you plan on covering it with like lineoleum slabs and then fleece or a vet bed (basically sherpa fleece with non-slip underside).