Get a medical directive, signed and notarized, stating your outside doctor recommends you delay vaccination for your child because auto-immune diseases occurring in your family make your child at risk. (You can find a doctor ahead of time to fit the bill so that you will be signing a true statement in the medical directive.)

Also, refuse the ointment they want to smear in your child's eyes, the Vit K shot, and the blood draw from the heels.

Upon admission, hand them a copy of the notarized directive and tell them the child's doctor will take care of vaccinations at a later date. Tell them you are strictly following doctor's orders.

The husband needs to be present with the baby at all times, because the hospital needs to meet their quota and follow their directives, so they sometimes vaccinate and draw blood regardless of your stated wishes. The notorized medical directive might detur this behavior, though....hopefully.

You absolutely do not need a pediatrician. A family doctor is much better, because he works for your child, not for his quota and his bosses at Big Pharma.

You can shop for such a family doctor now, and also shop around for a hospital that will not disobey your "outside doctor's" orders.