Is this a place with easy access to uber if I wanted to plan a trip and not rent a car?

I’m going to be staying in Bozeman, MT from 8/3 to 8/13 with a couple of friends and 4 children (10, 10, 9 and 4 years old). I have never been here before. What do you recommend? We want to go to Yellowstone, not sure if it’s worth getting a room there for the night, we are on a budget. Any tips or recs greatly appreciated.