I personally think that is to young for them to see something like that. If they were teenagers or young adults yes. But a nine and seven year old?! Nope.
My youngest brother who was 9 when I had my first kid was in the labor room with us off and on he honestly was bored and pretty much paid attention to his Gameboy thing haha. He opted to leave the room when things got closer to the end and hung out after the baby came. He showed very little interest in the baby and still is not a fan when we come to visit haha (my kid gets the attention and hes jealous)
A 9yo girl is likely going to be more interested but possibly not. Maybe talk to her about it and see if it's something she would be interested in and give her the option to leave if she wants and have things for her to do.
It's your call at the end of the day you know your kids better then anyone so why not ask them if they would like to go and see you deliver baby ? And if they say yes tell them what to expect the light version of events and your going to be in a bit of pain but it's a good thing because that's how you no baby is ready to come out to meet them so it's not a bad thing, see how they take that and if they are still happy to go,
Let them no that in very small cases things go wrong but that's why you go to hospital to have baby but that's up to you as you have had 3 kids already so all will be find so no need to rely tell them that part
But it's all your call you no your kids better then anybody.
If they want to go Make sure they have things to do and snacks drinks to keep them happy while you wait for baby to meets everyone. When you go into labour you should just ask them if they still want to go along with you.
Good luck with your delivery xx
It's totally up to you. There's no right or wrong answer, it's all a personal choice :) it's not like they are seeing anything "bad" like someone above was indicating. It's a natural beautiful thing , a child being born. If you want to, then I say yes, go for it :)
Maybe if you had a home birth with a few members of your family there then the kids would have reassurance from them. And if they decide they don't want to be involved they could always play outside or in there rooms. I watched a home birth where they had about fifteen people there including kids and the kids where more interested by the family they hadn't seen in a while.
Since you've already had 3, you know how you typically react in labor and childbirth. Are your births fairly easy, and wouldn't be distressing to children?
It's up to you but most doctors do not recommend just incase something happens to go wrong. Or that it may be distressing for them to see you in pain but once again it's your choice to give them the choice :)