Once you get home, it is a good idea to have a room specially set up for the kitten's arrival. Make sure the room is warm, and that all of the doors and windows are closed. Give your kitten time to come out of the carrier at its own pace and let it approach you and explore its new home in its own time. Do not expect your kitten to feel too playful straight away — its new home may seem frightening at first, as will being surrounded by unfamiliar people.
Spend time in the room with your kitten, but do not force it to be cuddled or held until it's ready for it. Make sure voices are kept low, and that you don't make sudden movements while your kitten starts exploring the room. Cats are naturally attracted to warm, cozy locations, so your kitten may well instinctively seek out your lap.
If you have young children, try to help them understand that the kitten will need both space and time to settle into its new home. As exciting as it is to have a kitten, they will need to remember that the kitten will not want to play all the time, and will need lots of sleep. It's also important to emphasise that the kitten is a very small and fragile animal, so children must be very careful when picking up, holding or cuddling the kitten. In the beginning, it will pay to supervise your children when they play with the kitten, especially if your children are young.
It may be necessary to keep up this approach for a week or two, introducing your kitten to new rooms and spaces slowly. Kittens are extremely inquisitive and can often end up finding hiding spaces you will never have thought of, or unexpected hazards that will need to be removed — so someone will need to keep an eye on the kitten each time it's introduced to a new space. However, don't be surprised if you find your little friend snuggled up next to you on your pillow.