I have never used Uber, have a friend in Phoenix who drives but have never actually used the service myself.  I do take a cab often.  To the airport, home from Tiny's but I usually call a local company for my ride.

Uber will launch statewide next month in Montana.  Uber was approved to operate by the state’s Public Service Commission in December, last May, according to bozemandailychronicle.  More than 100 people have already signed up to work for the company in Gallatin county.

As far as the service I've heard good and bad things.  Found some stories so you can check into and see if it's for you.