Admiral Club at LAX has a dedicated children's play room, which was critical to the operation for our 7 hour layover!
I didn't think of getting GE instead of TSAPre :/
Travelling with children usually gets us on a shorter family line at most airports, but Kona after New Year is worth TSAPre all on its own.
Another travel tip...Alaska Airlines. The have individual partnerships with a bunch of airlines, but easier to earn status and a nice interface for booking award...