Just make sure they know which bar you will be in when the lifts stop running. June Mountain is known far and wide as a great family ski area. Lower ticket prices, special snowboarding facilities, and a friendly family atmosphere. On holiday weekends the lift lines are shorter than at Mammoth. And there isn't any run steep enough to humiliate you in front of your kids.
Many kids learn to ski or snowboard here.
Speaking of snowboarding, if you want to learn to do it and impress your kids, send them to Mammoth Mountain while you take lessons at June. Or you will lose whatever respect your kids have left for you within about five minutes of getting off the first lift. Spend about three days learning, then come back and blow a popper off the halfpipe. You will be a rad dude. At least for a few days.