In a perfect world, cats would not shed their fur and leave little furbunnies all over the house. The hairless cat such as the Sphinx does not have fur to shed. However, the great appeal of cats is that they are soft and furry. The Russian Blue and the Burmese cats shed a minimal amount. All black cats and the black tabby cat do not shed as much as other cats. If the furbunnies bother you, don’t get a white cat. My veterinarian friend says they shed a great deal more than other cats. White cats have dense undercoats which contribute to the excess shedding. The bottom line is, brush your cat every day, if he’ll let you. They are not fond of having someone else tend to their fur. I suggest you wear those heavy duty canvas gloves!