Terrain quality and accessibility used to be kind of a draw between Bridger and Big Sky, just because almost all the good terrain at Bridger required hiking. Now that the new lift is open, there is absolutely no comparison between the two. If you want to ski big, techy lines and hit cliffs, Bridger is by far your best option...same goes for backcountry access. The only thing Big Sky has going for it is a terrain park and faster lifts (that access groomers when they aren't broken).
And yes, I do ski Bridger, but I have also lived here almost my entire life and spent a season working at Moonlight. It's not bias or convenience that keeps me riding there, it's just because it is a better mountain. If a terrain park is really important to you, then disregard everything I have to say--although I would strongly encourage taking advantage of what the mountains have to offer in this area.