Wow! Mama cat is gorgeous. Hopefully she'll be able to find a wonderful loving forever home. The baby is so adorable too. I'm so glad that you were able to move them into your shed.

I know that advantage can be used on kittens but I'm not sure how old they have to be. You can wash the kitten with dawn soap though and this will usually help to kill the fleas. Then you could treat the mother with advantage so her fleas will also be killed. Good luck.