Getting there and away There are busses to some destinations in Western Europe which go at least once a week, and planes to Poland, Austria Ukraine...|
Getting around by Air,
Bus The system of busses and minibusses(maxitaxis, marschrutkas) is quite well established but I suppose to read: "Tony Hawks: Playing the Moldovans at Tennis" to be sure you won't be surprised!,
Car It is possible but be aware of the Moldovan style of driving, cars, roads, and police officers!
Hitchhiking I heard of a boy who did it from north to south, but didn't try myself, yet - but normally you are charged at least the price of the bus ticket!,