housing for unmarried couples with a child

I’m gonna try to keep this short and sweet to spare you guys the details . I’m a 23 y/o male interested in joining the Air Force . The job I’m interested in is public affairs and I know that tech school for that is 6.5 months. I’ve already been in contact with a recruiter and I have an appointment coming up to bring all my paperwork but there’s something need to know before I enlist. Me and my girlfriend are expecting in September and I’m almost certain that I’ll still be in tech school by then. Is there a way that her and our child can live with me either on or off base ? I know that unmarried couples aren’t allowed to live together but is there a special exception for couples with newborns? I really want to further my career ,however I don’t want to miss the birth of my first child or the beginning moments of his/her life. Should I go ahead and marry her, or just wait to enlist ?