Tortoiseshell describes a coat, not a breed. A tortie's coat mixes black-based and orange-based colors in patches or a fine mottle, usually with little white; a cat with large white areas is called a calico. Dilute torties show soft gray and cream, and torbies add tabby stripes. Because the orange gene sits on the X chromosome, nearly all torties are female.
Most torties are domestic shorthairs, though the pattern also appears in Persians, Maine Coons and British Shorthairs. Their "tortitude" reputation is folklore backed by limited owner-survey evidence. A cat's age, history and socialization say far more about personality than color does. In SF, where so many homes are apartments, that means watching how a cat handles noise, stairs and neighbors rather than judging by the coat.