I'll add, as father of 1 year old who had been traveling a lot, sometimes you need to run for a connecting flight because the previous one is very late.

I usually board first with the family (required, I don't have enough hands to hold the baby and put luggages above, and my wife is not tall enough), but whenever possible I leave the plane last. It's relaxing, no one is chasing me, I can grab the bags slowly while preventing my baby from killing some one