Care for a New Pet Rabbit

Get a rabbit hutch. The hutch (or rabbit house) should be at least 2 feet (0.61 m) wide and 4 feet long, and tall enough to let the rabbit stand up to its full height. The bottom of the cage should not be made of wire, but the sides can be.
Outdoor hutches are most commonly made of wood with a door fitted at the front made of chicken wire. This allows for good ventilation and for the rabbit to see out. The wood offers a degree of thermal protection to insulate the rabbit from the elements, and is sturdy, protecting the rabbit from predators.

An outdoor hutch will need to have a run attached to it, so that your rabbit can exercise. The run should be a minimum of 4 feet (1.2 m) by 8 ft by 2ft tall, for a rabbit under 2kg.

 Many indoor hutches are made of plastic with a wire roof. This has the advantage of being lightweight, so you can move it around the house easily.
If you can't find a hutch you like, make your own! It isn't as simple as buying one, but it can be much better for your rabbit.

Cover the bottom of the hutch with bedding. You must provide bedding that is soft, warm and absorbent. Cover the entire base to a minimum depth of 3–4 inches (7.6–10 cm). This cushions the backs of the rabbit's hind legs, which are prone to pressure sores if not enough padding is provided.
Commonly used substrates for bedding include wood chips, hay, or straw. Of these, straw is the warmest and softest and makes the best bedding material, hay is second best (and is more expensive than straw), and sawdust it third best.

Get a litter tray. You will need to litter train your rabbit if you are keeping it inside. The litter tray will need to fit inside the hutch and not take up more than a third of the floor space.

Transfer your rabbit carefully from its carrier to its hutch. Rabbits are a prey species, which means when they are stressed they want to hide. Moving home is a big deal for a bunny, and so when you bring them home leave them in the quiet to settle in.

Remember, rabbits are prey animals. Unlike dogs or cats, their mothers do not carry them, so the only situation in the wild in which they would be picked up would be when a predator was carrying them. Some rabbits just don't like being picked up, so if your rabbit won't let you pick it up, leave it be.
Groom your rabbit. Grooming your rabbit is another great way to bond. Use a comb and a soft brush, and once bunny is happy being stroked, use the brush to groom it.
This is another good way to teach rabbit your company is a good thing, and perhaps try this first if the rabbit is still skittish about being picked up.
Ask the previous owner what the rabbit ate. In the short term, offer the rabbit that same food. Too many changes at once are likely to upset the rabbit and food is one thing you can keep constant (at least for a few days).
As the rabbit gets more confident, if its diet is not ideal, start to change its food.