We advised both our daughters and DIL’s, to let people see the new baby once, preferably the same time, and then batten down the hatches for two weeks. This way, they get into a proper routine as a family.
We were always there if needed, but preferred not to be. I thought it sounded lovely to be around them from day one, but was mindful it could backfire on me, and they would end up needing me more than I wanted to be there, in the long run.
No...you are not being selfish. You’ve done your time, now it’s their turn. It’s all well and good for difficult situations, for you to support, but the everyday, run of the mill stuff...leave them to it.
Congratulations by the way