Good luck to you!
I'm 39, with 5 children and will be attending Berkeley with a scholarship this fall. My undergrad gpa from a no name state school was 3.87 and my LSAT was 173.
I think law schools generally like a diverse background, but it's really a numbers game. I was waitlisted at Harverd and Yale, rejected by Stanford. Accepted at Berkeley, Virginia, Chicago, with scholarships, didn't apply to the NYC schools. I think with a Yale undergrad degree, you'll have better success at the big three if you score comparably on the LSAT.
Again, good luck!