My mom, her pets, and my daughter 😟

I'm two weeks away from my due date and typically my mom and I have a very good relationship. However, my husband has been very adamant about not wanting our baby visiting their home. They have 5 dogs and 3 cats and other than giving them a monthly bath, feeding, and letting them out to do their business they're not really taken care of. Their nails are severely overgrown and none, other than my dog whom I groom and provide veterinary care for, have seen anything more than a mobile spay/neuter vet. The house and yard are covered in fleas and at least two of the dogs are suffering because of it; one literally has a huge hole on his back from biting and scratching. My husband broached the topic of them taking the dogs to the vet we go to with my mother about getting their rabies shots and nails done and my mom pretty much laughed in his face and pretty much saud it was stupid. We even offered to pay for one of the dogs and just have her do one, since one dog we don't feel comfortable letting around an infant and two of them are so old I'm scared the rabies vaccination would kill them. Mind, our vet only charges $27 total for it and it's ILLEGAL to have owned cats or dogs without a rabies shot in our state. I've mentioned all of this before and she's pretty much told me that the baby isn't coming over then, but then goes on about babysitting a few hours later.

How can I talk to her about this without making it seem like an ultimatum, since that will likely make her not want to do it even more?