Providing many toys can help dissuade your rabbit from chewing on your belongings; when your bunny is occupied he/she will be less inclined to be destructive. Supervision is also key. Not only will your bunny love the attention, you can make sure your house doesn't fall apart.
Wires are one of the main targets of bunnies. Their sharp teeth can slice through your wires quickly, damaging your favorite lamp or worse, electrocuting your rabbit. It is best to cover wires with hard plastic sleeves or flex tubing. These can be purchased at any hardware, home improvement or electronics store. Even better is to keep all wires out of the reach of your bunnies.
When you look around the area your bunny will be residing in, do you see any places you don't want your bunny? Some bunnies can jump 36 inches or higher, and their curiosity brings them on top of shelves, chairs and desks.
They are also quite adept at squeezing into tight spaces, like behind your bookshelf or under your bed. You'll need to block off these areas. There are many options for this. Baby gates or puppy-pens work well, but ideally they should be made of metal, otherwise your bunny will chew his/her way through quite quickly. Watch out that the slats aren't too far apart, however, or else your rabbit will slip right through.
Bunnies are natural diggers and will dig anywhere they can, especially on your carpets. Any loose edges will be pulled and dug on until your carpet becomes a stringy mess. Tiles or untreated sea grass mats are good ways to cover areas that your bunny likes to chew. You can also arrange your furniture to cover spots your bunny frequently digs.
Molding is frequently chewed by bunnies. You can purchase plastic guards, but the best option is to give your bunny plenty of other chew options, such as natural wicker baskets and various other chew toys. See How to Deal with Chewing & Digging for more options.
Houseplants can be dangerous to bunnies. Many plants are toxic to your bunny. It is best to keep any plants out of the reach of your bunny. Poinsettia, holly, tomato leaves, and tulips are among the plants toxic to your bunnies.
By bunny proofing your house, you'll provide a safe environment for your rabbit and protect your belongings. This will make both you and your bunny very happy.