(Not sure if this is the right location feel free to move)

I'm having a scheduled C-section in a couple weeks, my mom has already planned on having DD1 and will bring her up to the hospital (a 15 min drive) when DH calls here. We told in laws we would call them as soon as it was over so they could head in as well (they have like a 30 drive.)

MIL this weekend kept talking about "how special it was going to be to see DD1 meet DD2 for the first time." Well...we (well I really) have already decided that I want DD1 to come in alone and be the first to meet her sister, giving her some time to get acquainted before having the grandparents come in. I don't want their excitement to see the baby to take away from DD1 meeting her new sister. We planned on videoing the moment so they could see it.

Our parents do a lot for us and I don't want to hurt their feelings, but I really want to focus on DD1 on this one. I told DH he needs to tell him mom, but I know (he can be a bit of a momma's boy) that he will blame the decision on me. how can I go about this explaining we just want a few minutes as a family of 4 before grandparents come in?

How did you handle the sibling meeting new sibling for the first time? Am I making it a bigger deal than it needs to be?