One solution to this problem could be to make residential areas car free. You could have a large parking lot at the entrance and everybody walks/bikes inside the neighborhood. Would require a huge cultural revolution, though. But I can say I'd appreciate living in such a neighborhood. And my kids would, too.
I can speak from experience that it is incredibly nice to have everything you want within walking distance or a short bike ride away. But it is incredibly hard to make such a shift unless you're developing something new or seriously invest in walkable, bikeable cities (not just neighborhoods). Or if you're in a European city, but I doubt that's what you meant.
That's why I was suggesting a large parking lot at the entrance of the neighborhood, so that people can still use their cars for longer errands. Not sure how realistic that is, though.