Re: delivery in US
If $$ is not an issue, you have a visa and you want to have your baby in the US, then the only logistics you need to take care of are: where to live, a doctor, and transportation.
You will have to look for a temporary living arrangement where you can get a short term lease, or an extended stay kind of hotel with a kitchenette. Then rent a car for the number of months you are here.
Finding a doctor shouldn't be hard online, or if you have families you know in the city of your choice, you should have enough help.