Last year my 8 yr. old started with a girls golf league that is in part run by USGA & LPGA called Girls Golf. They have girls ages 6-18. I was really impressed. They start with a free clinic in which the girls are broken down into groups & taught basics of chipping & putting. Then they had a weekly clinic where they showed grip, stance & hitting balls. After this they started playing a few holes @ chip & putt course.
When the summer started they had weekly 9-hole league @ par 3 course. They alternated formats & parents played along in scrambles a few times. They really stressed things like introducing yourself to your playing partners, marking the ball & other rules of golf. It is nice because this place has mini golf, range, chip & putt & par 3 course. You paid $15 to join & $6 each week you could show up for the league.
They had a few outings at reg. golf courses where they either set up kids tees or scramble with an adult. My daughter loved it but was bummed the glow golf was cancelled due to weather. Every Thursday she was excited about going to play in her league. My wife said she seemed like me on Sunday. Best part is my 6 yr old wants to start this year. I hope they stay with it because someday I can get family membership at loacal club. What other sport can you play with your dad when they get old.