Not the OP, but I have 7yo and 3yo kids and don't have a license. For as long as we lived in Europe (UK, Belgium and Czech Republic) I felt little need for it - bikes + child trailer served us well most of the time, and we took trains for longer journeys. Now that we moved to New Zealand I'm working on getting a license because while public transport is passable (but far from great) in Auckland, you really do need a car to get the most out of the rest of this beautiful country.
Fwiw, I bike to work in Cambridge and take my kids to school by bike on the way. It's by far the most consistent way to get to pickup on time. We bike through winter and wet weather.
Negatives? My wife doesn't feel comfortable riding the big bike with kids and there's only one bike with two seats. If the big bike goes into the shop, things get complicated but the same would go for a car-based commute.