Mum cats continue to teach their babies "cat manners" until they are 12 weeks old, so taking one at 8 weeks means you assume the role of Mum for the first month. Cat manners is what they learn from siblings too, and includes:
It hurts me when I get bitten
It hurts me when I get scratched
It hurts someone else when they get bitten or scratched
It hurts me when my Mum ignores me
It hurts me when my mum stops playing with me
It frightens me when someone stares at me
It frightens me when someone hisses or spits at me
Basically you just need to put yourself into Mum cat mode and carry on her teachings. After a few days of withdrawing your hands whenever she bites or scratches and calmly walk away (I wouldn't even pick her up if I were you) just ignore her. Taking away her toy (your hand!) will deprive her of her fun and put you back in control.
If she hurts you, do as her Mum would do and scream or hiss sharply ay her. Then move away. She'll be shocked and instantly know what she did was wrong. It soon stops, believe me.
Fail to do this, or allow a member of your family to continue to play "rough" with her and she'll continue to see it as acceptable game, and never break the habit.
I've brought several cats into my home, most are strays with bad attitudes when the arrive, and as yet this method has worked on all of them. They now know that any form of attack, albeit in play, leads to immediate withdrawal of cuddle/play privileges.
Except for Sly who totally dominates my OH who, unwisely, decided that it was OK to play rough with Sly when he was 6 months old and now gets playfully savaged every time he goes near him.
Sly's gentle as a lamb with me though. Proof I think.
Rolls eyes - told you so.
However, good (or apologetic) behaviour gets rewarded with extra play, treats and of course loads of hands-on strokes and tickles.
If she's very boisterous, make sure you always have a largish cat nip toy to hand to thrust at her when she's being a madam, and wand toys are marvellous for wearing out small cats with too much energy. She can use up her energies on that instead of your poor hands.
If you have relatives who you are concerned for, buy some bitter apple spray and rub a little into their hands before they play with the cat. If she goes to bite them she'll receive a mouthful of nasty taste that will stop her from doing it again. However, I'd only use it on yourself as a last resort as you want kitty to love YOUR hands, not be wary or scared of them.
Personally, I like the "two kittens best" idea, they teach themselves cat manners and you'll be spared the hard work.
Have a look at the Youtube articles by Jackson Galaxy he's amazing!.