CO,UT,ID,MT,WY trip

I was wondering how logical it sounds to go from Denver to Salt Lake to Boise to big sky to Yellowstone to Jackson hole then back to Denver? I want to go either for spring break which is a week in mid March or during the summer but I’m trying to plan for the best and also any car renting recommendations ?? First time road tripping without my parents !! And I’ve never been out west. Want to get it right!