Oh minimalistmommi, she's so lovely!
I bathed my kitten quite often when she was small, as she was a bit lazy about cleaning her fluffy pants! But I'd only put her paws and rear in, never her head. She liked it as far a s I could tell in that she didn't object too strongly.
Tips:
When your kit's asleep, massage her little paws so she's used to you having her paws in your hand. Then you can trim the spiky end off all her claws. Very important not to cut too much, just the clear spiky tip.
Fill the hand basin with warm water, hotter than you think, place a folded towel into the sink, and have lots of towels around. Cover the hot tap with a wrung out face cloth.
Wear an apron with attached towel, and close the bathroom / kitchen / utility door. Have five.towels warming on the radiators. Clear everything like soap etc off the basin. No sudden moves and no shrieking if she hops out and covers the floor with water!
Hold your kitten in your arms, talking to her all the while, and then gently lower her into the sink. She'll stand on the submerged towel while you get a brush and whoosh the warm water around her breeches, brushing off any poo/ litter/ clag. I'd have a little jug of fresh warm water ready to pour on her before taking her out. Keep rubbing her head and face with a dry hand, and telling her she wonderful etc.... If you want you can rub her head and upper body with the wet face cloth.
Have a towel attached to your apron. Lift her up out of the water and onto the towel attached to you.
Wrap her up in that towel, and then change the towel, and then change it again. Wet cats hold an awful lot of water, so be sure to have about five towels ready.
Then bring her somewhere really warm, in the sunshine if possible, so she can dry off and groom without a draught.
Comb her out with a comb, and use a clean brush after that when she's dried off a bit.
My cat didn't mind, and hopped up in to the basins afterwards and licked the taps.
If you don't want to start washing her and if she's a bit uncoordinated in the tray, you can use the wrung out face cloth method where you just wipe her with the cloth until she's clean. They're quite used to their mums licking them, so they get used to the face cloth quite quickly. Certainly saves on laundry!