15 miles is not that far. 45 minutes with a US (20MPH) e-bike. Average commute is 30 mins each way. And that's time you don't have to spend at the gym now.
Shower at work? why, because you're sweaty? yeah, the humidity on East Coast is killer. I don't shower, but I keep a change of clothes at work.
[1]: https://www.fastcompany.com/3052699/these-historical-photos-...
[2]: https://www.francetoday.com/travel/paris/the-paris-bicycle-b...
Yes? Or alternatively just dry off and change clothes.
"How do you get your kids to school?"
Kids here take the school bus - or indeed cycle to school. I cycled to school from about age 6.