Help, please, what do I do.

Jennifer • My little girl will be five in July and is a huge big helper to her little brother that was born in March.
Ok, so my five year old daughter wanted a kitten for her birthday. Showed us for a year she could take care of the dogs, so we got her a kitten. Now, she tells me she doesn't want him anymore. We spent a good 500 on the kitten and all the supplies, and haven't even had him for a week. I tried telling her that getting rid of him is like us getting rid of her. My husband is at a point where he wants to get rid of him cause one of our dogs and him are a handful. The dog just wants to play but because he is so big and the cat is so small, the cat gets scared. I have already fell in love with this cat and don't know what to do. Should I just find a new home for him, or is there a way I can help my daughter get to a point where she wants to keep him?