Nope, we're all gay.  You'll get bent over by a cowboy as soon as you leave our "airport."
If you want to ski park or party, Bozeman probably isn't for you.  But if you backcountry ski, fly fish, mountain bike, or ice climb it's sweet.  Both the other places you're looking at have really good skiing (obviously) so the only thing Bozeman really has is a small town atmosphere, fishing, and ice climbing.  I'd pick SLC over Bozeman for biking.  I don't know much about Reno beyond the fact that I can't picture myself ever living there.  But yeah, do a little research about each place and the decision shouldn't be too hard, the areas you're looking at aren't very similar.