Consult your veterinarian on the best next steps if your kitten has fleas. Kittens have very sensitive skin and not all solutions designed for adult cats will be appropriate for your young kitty.
The combination of a kitten comb and soapy water might be the best cat grooming supplies for flea-covered kitties. To avoid scaring your kitten, make brushing a regular part of your routine together. When it’s time to fight fleas, skip the more intense chemicals recommended for adult cats and check for fleas with a comb. Remove whatever fleas and flea dirt you can with the comb, then give your kitten a wash with mild soapy water. Conversely, you could try dipping your flea comb in soapy water and using it to brush fleas out of your kitten’s fur, re-dipping the comb between brush strokes to kill fleas. Either way, rinse your kitten clean of soap when you’re done, so their skin doesn’t get itchy. And reward your patient kitty with some cat toys after the task is completed.