We enjoyed our stay at Wellington, which is really well located in North Hobart - with bars, restaurants and hotels and the State Cinema within an easy walk. Hobart is not a big city, so everything is either within easy walking distance or an affordable Uber ride.
Wellington is a great base for one or two people. It is a compact space, but has everything you need for a comfortable short term stay, and (based on our experience elsewhere) is great value for money.
Recommended.