TrekChick pointed me to this thread--thanks, TC.
Regarding kids' lessons at Keystone, Breckenridge, and Arapahoe Basin, as much as I'd like to tell you that Keystone's program is incomparable, head & shoulders above anything else out there, and so on (I am the training manager for the Keystone Ski & Ride School), the truth is that I think you (and Jane) could get great lessons at any of them. So many factors combine to make a great experience--or to ruin it--including the instructor, the snow conditions, the weather, what the child had for breakfast, the other children in the group, and more.
I am exceedingly proud of the training program for our instructors at Keystone, but honestly, the training manager at Breckenridge (Tommy Banks) is a very good friend of mine, whom I have known and worked with for many years (we both worked together at Keystone for several seasons). And the Director at Arapahoe Basin (Burt Skall) is another friend of mine, who also spent years at Keystone as an instructor, trainer, and manager. There's a lot sharing of information (also with Winter Park and Copper Mountain), and I can tell you confidently that the instructors at all these resorts receive excellent--and similar--training.
Available programs are also similar, especially between Keystone and Breckenridge (and Copper). If Jane would like to get involved in a multi-weekend program, skiing with the same group and instructor, check out Keystone's Explorers (ages 3-4) or Kroozers (5-15) programs, or similar programs at Breckenridge and A-Basin. These groups are very popular with families in Summit County and the Front Range. The kids have a great time--and can become great skiers. Many come year after year, and I know a number of instructors who started in these programs as children.
I will make a small plug for Keystone, though. I've worked at all of the Summit County resorts, and I think that Keystone's terrain for learning is second to none. Our three beginner areas (one at each base, and another on top of Dercum Mountain) have been substantially upgraded over the past couple years, and we've completely renovated and remodeled the children's facilities at each base area. For more advanced students, Keystone has two unique runs on the mountain that are gated and reserved for ski school and other learning skiers. The "Go" trail is a grean run, and "Go Further" is a blue run. Keystone is entering the third season of a complete rebuilding program, led by Ski & Ride School Director, Pete Sonntag. If you haven't tried Keystone in a while, I think you'll be pleasantly surprised.
I do hope you'll consider Keystone and give us a try. I look forward to hearing about your and Jane's experience, wherever you choose to ski. If you have any specific questions or concerns, I'm happy to help. Don't hesitate to reply in the forum here, or PM me.
Enjoy the waning days of summer and fall--ski season will be here very soon!