Confinement
Confine your new cat to one medium-sized room with her litter box, food, water and a bed. Feed your resident pets and the newcomer on each side of the door to this room. This will help all of them to associate something enjoyable (eating!) with each other's smells. Don't put the food so close to the door that the animals are too upset by each other's presence to eat. Gradually move the dishes closer to the door until your pets can eat calmly, directly on either side of the door. Next, use two doorstops to prop open the door just enough to allow the animals to see each other, and repeat the whole process.
Swap Scents
Switch sleeping blankets or beds between your new cat and your resident animals so they have a chance to become accustomed to each other's scent. Rub a towel on one animal and put it underneath the food dish of another animal. You should do this with each animal in the house.
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