Brno aside, Southern Moravia is most famous for its wine. Except for the Czechs though, this fact is not very well known, so not many tourists make the trip to the region. The area from Kyjov to Hodonín is particularly wealthy in both vineyards, private cellars and mannor houses. For a weekend adventure, the Mutěnice Wine Region is particularly enjoyable. The rural area outside of Brno though has particularly high unemployment and also has done little to attract foreign tourists so contact with the English and German speaking world is a lot more rare than in Prague. Expect to use your phrase book and knowledge of Czech a lot more than you may be used to. Also expect a lot of friendly hospitality.
In contrast to Prague or Brno not many people here speak English. Like most Czechs though, they do like to study and most people will be willing to make a strong effort to communicate in the English that they do know.
The local bus system in Southern Moravia is quite extensive. Learning to read the bus tables is a bit confusing at first so be sure and ask for assistance, but once you've mastered the bus system you can get from village to village very easily.
South Moravia is famous for pickled gherkins, made around Znojmo. Various dishes from pork and cabbage are eaten in the region, as well as pies with plum jam and sweet cottage cheese. The favorite drinks are wine and apricot brandy. See an article about South Moravia specials