There are various places around Hobart worth visiting including Kingston, New Norfolk, Richmond and Taroona.
Hobart is also a great place for walking, cycling and sailing. The Derwent River is a great place to sail as well as cycle along. There are also a number of walking tracks on Mt Wellington (1270 metres high) and MT Nelson. Both offer wonderful views.
It is also worth heading out towards Mt. Field National Park hosting spectacular landscapes made up of lakes, mountains, rainforest and wildlife. There are also many walks that take you to several waterfalls and beautiful areas.