Tips for a clean kitten?

I have a new little kitten and I would like to know a couple of tips on keeping a clean kitten/cat. What i mean is, how to keep her rid of fleas and her coat shiny and clean. Any health tips for her “teeth” and what are the best foods for her digestive system. Particular breed is unknown, age unknown. It was rescued and now I have a new cat!! Tell me everything you know. I shall go to the vet later on.
Thanks