Our regular grooming kit
(clockwise from far left)
For tougher knots, mats, and "cotton coat"
For the occasional heavier knots, mats, and "cotton coat", we also use a wonderful tool called a Matbreaker, manufactured by APC2000, Inc and available online from Cat Claws. The Matbreaker looks like a comb with 6 curved stainless steel teeth with sharpened edges. The teeth can be removed and reversed for left-handed use. We recommend buying two and setting one for left, one for right, so you can work on any mat! Replacement teeth are also available.
Get down to the undercoat
For cats with very fluffy coats, try an undercoat rake to remove the stubborn "fluff" after you've cut any mats or knots. On smooth coats, a rake just slides thropugh. But if your cat needs one of these, it can works wonders.
For cats with smoother coats, try the Furminator. It's excellent for many cats. (Unfortunately, on our very fluffiest cat, this just sslides over the top.)