For my first two kids, I didn't want anybody but DH...and NO VIDEO. For #3, we planned on having the big kids, who were then 6 and 8, in the room (standing near my head) just for the actual delivery. The doctor told us that it would be about an hour, so we called my mom to bring the kids to the hospital. Very soon after that, though, DD's heart rate dropped, and the doctor was just about to do an emergency C-section. He did one last check and saw that I had dilated VERY, VERY fast and was able to deliver without the C-section. DD was born blue and not breathing, and they had to do a resuscitation on her. By the time my mom and the kids got there, everything was calmed down. I was SO glad they missed the birth and stressful time immediately afterward.
More than you asked, I guess!
BTW, DD is 4 now and perfectly healthy, and nagging me as I type this for breakfast!