Just a reminder that switching seats is technically not allowed.
Flight Attendant confession: we turned a blind eye IF the couple were subtle about it. No hovering over the seat or going back and forth and back and back and forth, etc.
Also, please come back to visit the child and nanny. The babysitter shouldn't get you unless it's an emergency and send a Flight Attendant if it is.
I sort of agree that the perks of First are kind of lost if you're flying with a baby but it's your call. As far as the evil eyes go, they won't complain if you're doing something about your crying baby. Don't fight a toddler to stay in his seat or leave him crying, claiming it's "his ears".
Also, the route counts. If you are on a "business run" on a weekday, it might be stickier than say, going to a vacation destination. Long haul during school vacations will have more families in general.