Well, I've never had a little kitten but from experience with Rossi (approx 7 months old when we adopted him)
1 - move anything breakable from all low shelves etc, and then also from the shelf above where you think the kitten cat reach!
1.5 - don't leave plates too close to the worktop edge, just in case kitty decides to jump up and help out
2 - play with them at least twice a day and don't stop because you've had enough, wait until they get bored.
2.5 - get a toy which can be played with when the kitten is on its own as well so it doesn't take it out on your curtains/sofas/cushions/socks/slippers/door handles
3 - if you have a fishtank, make sure it can't be knocked over/off its stand/shelf.
Oh, and not kitten advice as such, but you should know that as a member of the forum you now need to show us some photos