Big Sky has huge runs and tons of really sharp rocks. But yeah, lots of big lines and not many cliffs.
Bridger has lots of technical terrain and not a ton of good stuff you can access without working for it. They also get huge storms that Big Sky can't ever match, but the lift lines tend to get big on those days.
The backcountry in the Bridgers, up Hyalite, and around Big Sky is really good.
Don't come here to ski park. Occasionally Big Sky's will border mediocrity, but Bridger just has a couple little jibs that would be fun for about an hour on a shitty day.
That's my quick synopsis of the area. If you need any more information feel free to PM me, all I'm doing is hanging around the house until school starts.