when I was pregnant I walked about a mile a day. I don't know if it helped me go into labor naturally, but i did. I didn't even know staying active was supposed to do that. And I did zero squats ever, I still don't do them unless you count the "squat machine" at the gym.
When I was pregnant with my daughter I pretty much walked my whole pregnancy
I don't know about the squats thing but all i know is stay active and have lots of sex that's supposed to help go into labor