Sibiu is a relatively compact city where you can easily walk to. Or if you want to rent a car, take a taxi or public transport TurSib.
The city has 20 bus routes, two lines also connect the city with surrounding villages. The fare is 1,50-2 RON, you can buy in the Tursib agencies, kiosks or ticket machines located at bus stops from railway station, cemeteries and the National history Museum. Machines sell from 1 to 4 tickets at a time, and accepts coins from 10 to 50 bath, and banknotes of 1 and 5 RON.
Find the taxi rank is not difficult: they are practically around the perimeter of the old city. In addition, you can ask to order a taxi at the reception of the hotel (however, keep in mind that some hotels located in the heart of the city, where the movement is limited).