Morning Eagle is right on the slope. My recollection of Huntley is a slight walk is required. But I could be wrong about that, it's been a few years.
Big Sky is absolutely huge. There's some serious "kill you" skiing there. There's little night time activity, a few bars and restaurants, but not much. There's a certain kind of rock there that seems to migrate upwards through the snow all winter long and you'll have some scratches at the end of the week, maybe more. It's sunnier, which is nice, but they get less snow. On the other hand, once everything's covered, how much do you really need?
Whitefish is pretty big, 3000 acres of mostly tree skiing. There's some cliffy stuff and chutes, but nothing like at Big Sky. There's skiing in every direction, and the crowd level is low, so you can find fresh snow for days after a storm. There's no tram-like situation. Most of the lifts converge at the Summit, so it's easy to meet others for lunch. Those days they have for the trip correspond to some historically fantastic skiing. But I would not go later, because in an El Niño year, the snow could be getting spring-like any later. The town is a REAL town. If you're staying at the hill, though, you'll be relying on the SnowBus to get to it. Most of the night life is down there. At the mountain for après, you'll be hitting the Hellroaring Chalet and the Bierstube, both good bars. The main restaurant up there, the Kandahar, to me is seriously over priced. There's tons of restaurants downtown, but staying at the mountain, you've hobbled yourself. Personally I think, unless you've got little kids, it's better to stay in town. Do you really want to be dependent on the Snow Bus at 10PM?
Whitefish is a good mountain for cruisers and tree skiers, and lovers of après. Big Sky is humongous, with something for everyone, but not much to do otherwise. There's a much higher % of locals at Whitefish. Big Sky is slanted heavily towards destination skiers.
. Was just riffing off a line by Mark Twain. 
