Sure, human nail clippers are fine. I use them for both of my cats.
For now, just take the very tips off the claws since it will be your kitten's first trim. If you have problems getting the kitten to hold still try clipping them when your kitten is sleeping.
As for how far is too far, you should be able to see a pink quick within the claw. Do not clip that low.
Originally Posted by Ashley45
I'd like to clip them so that when he's playing on me he won't sink his claws into my arms/legs.
Also, I suggest you get some teaser toys and discourage your kitten from playing with your arms, hands, or legs. You do not want him thinking that's ok play when he gets older.