I got lucky with a cool boss, most places won't let you take a day off until after 90 days.
We got real lucky with Andrew. Jenny had gobs of sick time built up and I was on the shops yearly (it seems) 6 week shut down from the week before Thanksgiving until after the first of the year. My time off started with the friday before he was born and Jen put in for her sick leave to start the week before. It sure was a blessing to get to spend the holidays with the family.