Fatherhood is one of the most trying things and the most rewarding things ever.
3 pts of advice:
1) Babies leak - out of every orifice (sometimes a little, sometimes a lot)
2) Babies are people from the get-go. They have personalities, wants, needs, desires just like every other person. They don't suddenly develop those things as teenagers, LOL.
3) For a first time parents I highly recommend attending a Bradley Method pregnancy class. I learned so much and I was so much more involved in the birth than I would have been if my wife and I hadn't done this (there is a lot of stuff they don't teach you in health class).
My wife didn't suffer from morning sickness in either pregnancy (her mom didn't either) so I don't have much to offer you there, other than I think that diet, consuming enough water, and a least getting a modicrum of exercise all help to eliminate many "considered normal" issues that arise in American pregnancies.
Not exactly Paleo, Zone, or IF, but Google the Brewer Diet. My wife had good success with it with our first pregnancy. The Bradley (Husband Coached Childbrith) organization and our midwife recommended it. 2nd pregnacy we weren't as strict, but my wife is generally eats along those lines anyway.
Nice intro to the Brewer Diet here WFS
Excel spreadsheet that you can use to track eating WFS
Be advised that following such a diet you are unlikley to have the average 7 lb baby. Both my kids were at least 8.5 lbs or more. I provide this caution because Doctors will freak out if they think you are having a "big" baby and want to sign your wife up for a C-section.