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The chinchillas will need to time to get to know each other and bond before they mate. You will need to have small wire cages for each chinchilla ready. Make sure the cages are made of wire and are 18” high with very small mesh so the chinchillas cannot escape the cage.  You should also have a larger cage available so you can place the two chinchillas together in the larger cage once they are comfortable around each other and ready to mate. The cage should be big enough for the two chinchillas to move around and mate. You may include bolt holes or cubby holes in the larger cage. This will give the male a space to hide of the female does attack him before mating. You should also set up a cage for the kits so they have housing once they are born. You should use a cage that is no higher than 18” and 1” x ½” or smaller. The kits will likely climb the sides of the cage so it should be small enough for them to drop from a short height. Make sure the mesh is small all the way around the cage so the kits cannot climb out of the cage or slide through the holes. You should set up the breeding cage in a quiet area that does not get a lot of traffic in your home, such as a spare room. Chinchillas are averse to loud noises, strong smells, and being surrounded by new people. You should create a quiet, isolated environment for your chins so they can breed successfully.  Most chinchillas breed well in rooms that are kept at a cooler temperature, between 52 and 68 degrees Fahrenheit. Try to keep your chinchillas in a room below 75 degrees Fahrenheit at all times. You may place a fan in the room to circulate the air and play a radio on low in the room. The radio can help to block any outside noise or noise in your home.
Have separate wire cages for each chinchilla. Set up wire cages for the baby chinchillas, or kits. Choose a quiet, isolated area for the breeding.