They do actually appear the same size in the sky though, which is why we get perfect eclipses. The Moon is slowly getting further away from Earth so it won’t be forever. We’re just in a lucky moment of time in the universe.
It really is just a coincidence.
Meetups and clubs based around certain interests have worked well for me.
Examples: writing clubs, chess clubs, book clubs, hiking clubs, debate clubs, etc.
I have trouble at parties where I have to find things to talk about with people I don’t know, but at interest clubs then we’re all there for the same purpose and there’s a clear thing to talk about! If you hit it off with anyone, then you can begin hanging out outside of the club