if you like skiing trees, cliffs, and pow (if we get any this year) then stay in this area and hit up red and whitewater... if you don't have any avi gear or know anything about avalanches or touring I'd say you'll have a better skiing experience at Red Mountain than Whitewater.
that being said - if your dad is all about fast lifts, groomers, and being catered to - Big white would be more his style... and if you're a park rat who doesn't like powder, you'd be more at home at big white as well.