Congratulations on your new addition to the family. Any idea how old she is? And if she is a he or she?
I agree with the previous posters to get the pet spayed/neutered and microchipped too so in case she ever wanders off, she will have identification where it counts.
The vet I use usually costs around $35-40 just for the office visit, with additional costs for running tests for funky intestinal worms and such, plus medications for such worms and/or flea control. My usual first visit would cost around $85. I know our local Humane Society will spay kittens for free (a feral program) as early as 8 weeks, but the private vet will say to wait until she is 6 months, easier to find the little organs at that time I guess. Keep her indoors during the time she is unspayed. You may want to check if your City offers a reduced cost spay/neuter program. My kitty just eats Purina kitten chow, nothing fancy.
Kittens are so rambunctious too. My kitten is just approaching the 6 mos. range so she is just calming down, a little. She didn't have any littermates to play with, just two old crochety adult females who didn't pay her any attention so she turned to us for entertainment. I swear, if I was walking down the hallway she would jump out of nowhere and hang on to my leg for fun. She was a terror until we got her a feather on a stick type of toy. Get a toy to keep her entertained if you don't want her scratching up your hand. But most of all, enjoy them while they're little and love to play.