During the first 4 years of fatherhood, I did triatholons and ran ultra-marathons - primairly ultras as the crowd was far more relaxed. After our second was born I decided to take up powerlifting, worked up to a 1405 total.
I've recently decided to go back to endurance events as being 230lbs of raw strength isn't conducive to life, plus our grocery bill is higher due to that. So I'm swimming and dropping weight; running at 230 (now 210) was terrible and humbling all at once.
My wife did half-marathons and now does cross-fit.
During these different 'eras' we exposed our children to our activities and they partook when interested, they are highly interested in riding their bikes and run as they please. Though they prefer volleyball and gymnastics at the moment.
They only negative, is they can't sit for school, as school only offers one recess during the day.