J.N.
Really, there is no way to tell, especially since it is the first. Some women start dilating/effacing a week or more before, others only a day before labor. Some women have their baby at 38 weeks, others at 41. (Mine were late, early, and on the due date, so that even varies by baby).
I know it's hard, but try to relax and enjoy the last few days to weeks of not having to carry a whole bunch of stuff with you every time you walk out the door or being woken ever hour by a hungry baby. Don't get me wrong, it's wonderful when you can finally hold your baby in your arms, but life changes forever. Just try to get extra rest now (haha, I know) and be patient.