When you habituate something, you're helping it to get accustomed to a new home. Workers in zoos spend a lot of time habituating animals.
The word "habit" in habituate is a clue to its meaning — by habituating, you're helping a creature or person get used to new surroundings and establish new habits, especially in a new habitat (home). If your dog spends the night with a friend, you might bring some of his toys to habituate him and make him feel comfortable. It takes a lot of time for a new cat to be habituated to a home. When you habituate something, you're helping it feel comfortable and accustomed to a new place.