Assuming you have a partner, each adult has two kids on their bike (one front seat, one back seat). At 6 the eldest can even cycle by themselves if you push. I'm Dutch and this is completely normal here.

I used to have this bike with an extra front seat and regularly cycled places with 4 kids (4-7) by myself (pushing one on their own bike): https://kokfietsen.nl/image/cache/data/Azor%20Catalogus/069-...

But then again, this country is really flat.

Edit: with kids 6 miles is a stretch, not that it's super hard, but you'll often be tempted to just take the car. If you upgrade to an e-bike that temptation will be a LOT less.

Here you go; fits 4 kids easily and is electric so you won’t smell bad: https://bunchbike.com/products/the-original-electric-cargo-b...

If cities weren’t designed around cars, your church wouldn’t be six miles away in the first place.

People in non-auto-centric countries all over the world take their families to church and everywhere else you listed.

Cargo bikes for the 2 adults. It's the norm here in Stockholm. Well, 4 kids is not the norm. But 2 kids in a cargo bike is the norm.

In European cities you usually walk to church because it's not 6 miles away, there aren't massive 6 lane roads taking up valuable city space.