Savannah cats are one of the oldest breeds of domestic cats, they were considered a member of the royal family. They can live up to 20 years. These are relatively healthy cat with few problems. Savannah cat breeds tend to have gum problems, so you will need to brush your teeth weekly. A vet visit may be necessary if their mouth becomes irritated. They scratch when playing and they scratch when they want to mark their territory. However, there are also high chances that your cat is going loco on your furniture and destroying all fabrics that come in its way for no reason.