The people directly involved we are calling once we leave/are admitted. So, my Mom and step dad (since they will have DD) and DH's parents. I've told them under pain of death that they are not allowed to tell anyone else until we are ready. They can also come to the hospital, but will not be allowed in the L&D room for long and will have to wait in the caf or waiting room.
Once the kid is out, and I've had my first 2 hours of bonding, shower, food, ect. Then I'll take visitors and tell the extended family. I'm very strict. I had 20 people in my L&D suite last time since I let my Mom be in charge. It was terrible. This is time for me, DH, our Doula, and the baby. Period.