You can step out back and walk the Main Street to the Mountains trail system. Watch the sun rise and set over the Hyalite mountains; best view in Bozeman. In city limits, minutes from downtown but you'll feel like you are out-of town! I do have a resident cat, she stays outside while you visit, I also have a dog. Enjoy off-street parking!
Bridger Bowl is 30 min. away, Big Sky is 50 min. away and 90 miles away is Yellowstone National Park