Your new kitten will need brushing ( especially if it’s longhair), trimming nails ( depends on your desire, not necessary). If it gets dirty ( not common 😂), you can bath your cat. We buy “Grooming’s goop” shampoo and conditioner. Or you can buy just shampoo wipes just in case. Also you can brush kittens teeth or buy dental treats, ”greenies” for example ( after kitten in 6 months old).
If your kitten is longhair, you can buy him also hairball paste, treats or grass ( after the kitty is 6 months old).
If the kitten needs eye care, you can buy eye care wipes, or swipe his/ her eyes with wet cotton pad when it’s needed.