I ride a longtail with my three kids in back. I appreciate bike lanes, feel quite safe on buffered bike lanes, and absolutely love protected (or barrier-enforced) bike lanes. Similar story, I'm sure, with riding along with the kids on their own bikes. On my own, I couldn't really care less if there is a bike lane on any road less that ~40 mph.
It's not always about what the most capable of us feel comfortable with, but what makes children and, indeed, adults who wouldn't otherwise bike feel emboldened enough to venture forth and ride.