Opinion- Children in the delivery room

We decided that this delivery will be my husband and I only (no mom or MIL) in the room. Now that it's getting closer we have both thought about our other kids being in the room. My daughter is 8 and my son is 6. They have both played a huge role in my pregnancy and are beyond excited. They have gone to appointments and ultrasounds. They are constantly talking to the baby in my belly. They even love to watch birth videos on like tlc when i watch them. My son has anxiety and is very much in tune with me and my emotions. I planned on having my mom keep them occupied and try to distract my son to keep his anxiety in check but the closer it gets the more he is worried. He tells me he doesn't want to leave me. I think even if he saw me in pain it would be easier for him to be there than to not know and not be able to see me. My husband is on board for anything I choose. I am just torn. Sorry this is so long. Thoughts?