Congrats on your date and the birth of your baby. I have only just been sleeved this week and I don't have kids so taking a stab and hopefully others can add their wisdom. The surgery will knock you around for a few days no doubt, but it is day 4 for me and I came home today, went for a walk down the street and am getting better each day. I admit that having a baby to care for as well sounds pretty full on but if you need the surgery and have a good medical team I believe you can do it.
Who is your surgeon? You could always get a second opinion if you are unsure.