We did a group lesson on our first day, and then a 2-hour private which took us down same street the following day. However my wife is still primarily in a wedge and I am parallel skiing, but I loose my form and get nervous at higher speeds on the steeps and my wife just gets scared. So we might take a ride up to Brighton after we drop the kids in lesson/day care to look at the mountain.
One thing I will say is that the staff at Solitude is very accommodating one of the lady instructors, Helen, helped my wife with her lift issues on her own time, and Mike helped my wife down from same street when she just got to scared to proceed, he skied backwards leading her all the way down. Lief runs a tight ship of instructors.
I guess if we were a little more advanced I would definitely enjoy the quaintness of Solitude even more, there were no lines and the parking lot had less than 50 cars, Wednesday and Thursday, only doubling on Friday. As well our 2-yo likes the daycare, and it is all in the same building at the Moonbeam lift.
Of course our 9yo is blowing us away by going up Moonbeam, Sunrise, and Apex.
Aah . . . in that case I think you and your wife may like Brighton better than Solitude. Note that Brighton most has high-speed quads. Also has a good ski school from what I hear. Definitely sounds like it would be good for you to have some more guidance on technique so that you can keep up with your 9yo on blues. A lot more variety and fun once off the greens out west. It will open up options for you as a skiing family for future trips. For instance, I think you would really like Snowbasin once both kids are old enough for ski school. Lodging is very reasonable in Ogden or Eden.
For you, I suggest you practice hockey stops. First at slower speeds, then when going a bit faster. Always good to know you can stop at will . . . without falling. Start with the side that's easier. Then practice the other side too. Always practice new stuff on easy slopes before moving on to something steeper.
Has any instructor ever mentioned how to side slip? Another good survival skill that makes it less worrisome to go exploring a bit. I learned as a young teen on straight skis but didn't become an advanced skier until after retirement. Side slipping was something I learned early on. My daughter was taught to side slip in her "blue" class at ski school at Massanutten. Just one of the reasons she was more than ready for southeast blacks and Alta blues by the time she was 7 and in her fourth season on skis (5-10 days per season).