I took my daughter shooting shotgun for the first time last December. She loved it. The range has a youth club (trap, skeet, sporting clays) that gets a lot of support from the industry. She joined and shoots free (100 birds) and four free boxes of shells supplied by various manufacturers.
Sort of like the drug dealers giving out free samples to the kids. And yes, she is addicted to shooting now!
Why shooting? Because the people are still awesome and organized kids sports has gone so far away from what I had as a kid.
Why pistol shooting? Because I got so sick of hauling around gear as a young rifle shooter.
Pistol isn't an NCAA sport, but my kid can go to school on my GI bill anyway.