I didn't think about this, and it's one of my biggest regrets. DD1 is now 8, and DH and I were discussing her birth just last week. What I still haven't fully managed to tell him is how upset I was about his mother being at the hospital.
I had a difficult birth and was, in hindsight, quite traumatised by it. I needed time, and peace and quiet. What I did NOT need was my mother-in-law being brought to the hospital (she doesn't drive, lives an hour away and he picked her up from a station) by DH, sitting there for a few hours and then coming home with us in the car, and spending a few more hours at our house. I didn't want my own mother. Honestly, I'm not sure I really wanted DH. But he was on cloud 9 having just become a Dad and, not for the first or last time, was completely oblivious.
Set out your stall now OP, and remind him, and them, of it regularly. Let them come when you're home and settled.
I love DH, truly I do, and I have many flaws too, but his lack of empathy in the days following DD1's birth caused a tiny fissure in our relationship that I'm not sure I've ever really dealt with.