You can use family leave. You can put in the paperwork with an approximate date, then change it if necessary. You will be paid with vacation days first, then unpaid once those are gone. I believe if you are the one having the baby (you're female), you can use sick time after this. If you are male, it all becomes unpaid after vacation gone. I was at my first child's birth, but missed my second child's due to this job. Unfortunately, sometimes they come early and if you're on the road, it could be impossible to get back in time.

I would not say the company bends over backwards for things like child birth. Look how hard they negotiate against us to fight sick leave and how they don't want to honor the new FMLA laws. Look how hard company is fighting military leave.

Talk to the secretary in chief pilot's office. They deal with this all the time. It's no secret after kid is born. He/she will be on your benefits.