Cats are extremely clean animals, but even the most fastidious cat will benefit from a little help with grooming, especially if they have long hair. Grooming your cat is also an excellent way to bond. Grooming is also a good opportunity to check for any skin and coat irregularities.

It's a good idea to get your cat used to being brushed and combed from an early age. This will prevent irritating knots and remove dead hair. Do this regularly and not only will it keep your cat's coat clean and healthy, it'll help reduce hairballs forming.
How often? If your cat is longhaired, you should comb her once a day, or at least a, couple of times a week. Short- haired cats only need to be brushed once a week.
What you'll need. There are specially designed grooming tools for longhaired cats, but at the very least you'll need a good brush and comb. If your cat is shorthaired, a veterinarian recommended brush is all you'll need.
Brushing. If your cat's fur isn't too tangled just give her coat a good brush. This shouldn't take longer than five to 15 minutes. Most cats love to be brushed, but if yours doesn't, let her go and try again later. Longhaired cats' fur sometimes gets matted. If you notice tangled masses of knotted hair in your cat's coat, you'll need to make time for some careful, patient brushing. Holding on to the fur just below the knot while you brush will prevent the hair from pulling. If your cat's coat is really unmanageable, you could consider professional grooming. Also consider finding the right nutrition to help reduce shedding.
Bath time. Shorthaired cats do not need to be bathed, unless they are very dirty or have allergies. But for longhaired breeds, the occasional bath will help keep her coat in good condition and prevent a build up of grease. Your vet will be happy to advise you how to bath your cat and will recommend a special cat shampoo.
Prepare for the bath. Most cats don't really like getting wet, but if you have the shampoo and towel nearby, bath-time will be quicker and easier. To make things even easier, ask someone to help — then one can hold the cat while the other does the washing.