This is a really great question. The answer is that animals do not often change their habitat, but they are very likely to change where they live. 

A habitat is a place where an animal lives. A habitat has plenty of shelter and food for the animal, but it is also where the environment is really good for the animal, not too hot or not too cold. Different animals have different adaptations or characteristics that allow them to live in one area, and this is why we do not see the same animals everywhere. For example, camels can live in the dessert because they can tolerate high temperatures that other animals (including humans) cannot. 

Climate change can affect the environment in one area, which can affect the amount of food and shelter available to animal in that area. If the environment changes too much, animals may not have enough to eat, so they will need to move or migrate to other habitats, where there is good food, shelter and a nice environment. 

There is another way animals can survive climate change: evolution. You may have heard of evolution in class and about a scientist called Charles Darwin, who came up with this idea. If you have not yet, you can read this entry in the Encyclopedia Britannica. In short, evolution are changes in the genes of an animal that affect their body or behaviour. These changes help the animals to adapt to their new habitats, so they are more likely to survive and have babies, which means their genes continue to be passed along.