No need for a comb or brush for this breed, however like a baby they must be bathed often and have a few special care requirements.
Note: never use a regular soap or shampoo! You should use special shampoo for cats! Their lack of hair requires at least one bath each week to remove dust and dirt particles from their skin. Depending on your Sphynx, you may have to bathe them more often (required at least once a week)
An important consideration for the skin, which may seem obvious, is that the Sphynx must be safe-guarded from the sun. Only limited exposure. A small amount of sun will intensify the natural colors of the cat's skin, but too much will burn the cat, just as it does human skin. Be aware that a Sphynx body is highly susceptible to sunburn. Apply cat-safe sun block and limit your Sphynx’s exposure outside during sunny days.
Despite its apparent lack of hair, it is important to groom the Sphynx. For a regular cat, body oils are absorbed by the fur, but the Sphynx, clearly lacking in that attribute, does not have a natural way of keeping the oil on the skin in balance. This can lead to skin problems if the cat is not groomed, and to oil spots on the furniture. A regular bathing routine at least once a week to remove the build-up of body oils is sufficient to keep the skin healthy and the furniture clean
Sphynx cats have higher metabolisms than your average cat, because of their need to keep warm, so they eat more than the average cat. Always feed a premium dry and wet cat food. And fresh water at all times is important.