Standard pet insurance insurers tend to provide cover for cats, dogs, rabbits, and your more usual household pets. For animals like chinchillas, birds, lizards, ferrets, and more unusual pets, it is worth looking into ‘exotic pet' insurance.
You’ll need to check the Policy Wording of the policy you intend to buy to make sure your pet breed is covered. However, insurers are usually unlikely to insure banned breeds, or breeds recognised as having a higher likelihood of health issues due to their size or pedigree. Make sure to do your research regarding your pet before deciding which policy you use to insure them.
