You joke but it did make my social life a lot easier. You keep meeting other parents (at doctors, community organized activities, for playdates and so on) and instantly have something to talk about. Oh mine has the shits, mine won't latch, ours started rolling on his belly last week.
Then you start gifting and receiving gifts because yours grew out of his sleeping bag or the inlaws gave something absurd for your situation but someone else might find it useful and you develop actual adult friendships.
I had the exact same experience with becoming a parent! It's a super easy thing that almost anyone can talk about without being too personal, touchy or deep
I know this. I'd be like, "oh shit a smalltalker ..."
What works for me is to start talking about what hapened to me. Similar to what @[email protected] suggests in this thread. That also gives the other an immediate choice if they want to engage so deeply with you. But you might also expose yourself too much.