You will want to do everything in your power to make your new pet feel comfortable and secure in its new home. Establish an area in the house that your pet can call its own, and completely petproof it.
When you first get your pet home, introduce it to its special room immediately. Allow it some time to scope out the new surroundings, including the sleeping accommodations you have provided.
This should include a cushioned bed, basket, or travel kennel. For kittens, cardboard or plastic boxes work just fine, assuming that easy access into these enclosures is provided. Be sure that your pet’s sleeping area is in a part of the house far from noise and other disturbances.