I'll give you some examples of the kinds of things I easily did with my two bigger kids (5 and 3 years old)
- woke up on a nice Sunday morning and decided to go for a woodsy hike 20 min drive away. - threw our kayak on the roof and drove out to paddle it on the south shore, on a whim. - threw bikes into the bike rack for a long ride along a Greenway. - dropped by Grandma's house easily. - went to the Adirondacks for a week and brought our bikes and paddle board along with a bunch of other stuff.
And not directly care related but car enabled - I just opened the backyard door and they were playing there by themselves while I kept an eye from the kitchen.
The point I was making w that one is - lower density is what allows us a back yard while higher density is what supports walk-ability and transit. So maybe I can make the point in a cheekier way - your Hamptons weekend is closer to my every-day life than to your city life :)