Rent a car. There is not much public transportation besides the People Mover (Anchorage's bus service).
Drive up Eagle River Lp, to Skyline and up to the top for one of the best views in Alaska! The hike from the top of Skyline up to Mt. Baldy is steep but well worth it. You can see all of Anchorage below and Cook Inlet. Even McKinley on a nice day.
Most Eagle River residents make fun of Tips, but it's only one of two official "bars" in town. Right across the street is the only other one.