Family member with a dirty house and rambunctious dog.

So my grandma has a house. A largish house. It has four bedrooms, a den, and two living rooms. She has health problems and she's older (in her 60s) so its understandable that she's not the best at house keeping. However, there are three other able bodied people living there. My aunt, her husband, and my little brother. Her house is a mess. The floors haven't been vacuumed, swept, and mopped in I dont know how long. There's dust. Everywhere. Dog hair, cat hair. Everywhere. Its not necessarily cluttered, it just honestly needs a deep clean. If we're being completely honest, the carpets need to be changed out completely. She also has bugs. Cockroaches and bed bugs, even though she's bombed the hell out of the place numerous times and paid exterminators to come. She's put thousands of dollars into it and they still won't go away. As for the dog, she doesn't listen. She will jump on you, claw you, lick you, etc and my grandma either doesn't know how to control her or won't. Either way, its annoying and it hurts. The dog has even drawn blood from jumping on me. When she gets hyper, she runs everywhere. Its just ridiculous. It would be one thing if it were a small dog, but this is a pit bull.

Here's my issue. I'm having a baby (due yesterday 😑) and moving back home (just to clarify, I mean my home town. Not her house). Of course family is gonna wanna see him. I even got a text from my aunt talking about how she "can't wait for me to bring him over for a visit". How do I broach this situation? How do I let them know that I can't bring him over until that house is clean and that dog is under control? They didn't even clean it when my mom had my sister and I'm not going to be like her, bringing my son into that environment. I don't want him getting sick or someone dropping him because of an unruly dog. My grandma is overly sensitive at times so it makes for a difficult discussion and it sucks because I know no one in that damned house will lift a finger to help her. She doesn't have a lot of money so its not like she could just pay a company to come in. Hel

Edit: I can't invite them over because the family members I'll be living with, don't get along with my grandma. She wouldn't be welcome.