Congratulations... Been there 2 and a half years earlier, and although many said for me to sleep, I was brave enough to spend 6 months awake...
Not that I regret taking care of my child (actually the one on my avatar picture), but until today I feel the 'colateral effects' of that time when I switched night and day...
What happened to me is that I was awake late at night, just to confirm little one was breathing... yes they are!
During the day I felt like a zombie, loss of appetite, and this turned out in a cycle that I had a hard time to break later. Loss of weight, sense of humor, and don't doubt a FATHER can feel post-birth depression as well as the mother. It's not a 'woman thing'.
Sorry coming here to say you not very good things on this very happy (if not the happiest) moment, but someone have to say this to you.
Like I've said, I won't regret taking care like I did, but I'm sure if I could sleep 1 or 2 days every week the effects of lack of sleep would not have been so severe on me,
Hope all the best for you and your family,
Kind Regards.