Another option instead of Hobart city, to use as a base. Some good restaurants conveniently close by (especially the Indian at the end of the road). Also great for strolls along the beach (warning signs to not swim), or enjoy walking track near by. Or simply enjoy sunrise / sunset with views of the beach.
Apartment good for a small family. Clean & comfortable with fully kitchen. Worth noting as it is a shared building, you can sometimes hear noise from upstairs.
Would recommend & plan to return.