How to get rid of fleas in nursing kittens?

My animals have all had bad fleas for awhile now.
Once we noticed the fleas, mommy cat got pregnant, and kittens, and after those kittens got done nursing she got pregnant again. Now the flea problem is the worst I’ve ever seen it. Is there any way to get rid of the fleas in the less than one week old babies and their mom? Or do I have to wait until they are done nursing and hope mommy doesn’t get pregnant again?
I forgot to mention, I plan on getting her fixed when this litter is done nuring.

Bathe the kittens in dawn (or joy) detergent and water. You need to get the kittens flea-free before they become anemic.

They are much too young for flea dips and flea/tick topicals.

It is just as important -if not more- to get rid of the fleas in your home as it is to get them off your cats. Break out the vacuum! If you even leave a few fleas behind, your cats will continue to become infested. Throughly clean your carpets, couches, bed, etc… anywhere your cats have been. I would clean out one room and place the cat and her kittens in this room away from everyone else.

PLEASE be responsible and SPAY your cat!!!!!!!! Poor thing! You can safely have mom spayed once the kittens are done nursing. I would not wait a day longer.