Most pet supply stores will have wood chews in the small animals section. Hay toys are great, but you will also need a hay manger. It needs to be available at all times. There are two things rabbits can never be without, hay and fresh water.
No to the carrots, it's too much sugar. Yes to the hay. Doesn't really matter what kind of hay it is, as long as it's always available. Get a water bottle. Bowls get tipped over and played with. Water must be available at all times, so the only way to really ensure this is a bottle secured to...