Easiest way to go around is taxi. By saying "dar bast" you will have a private taxi to the end of route, otherwise some passengers may join. Busses are also available in almost all directions in the city with very low rates.
Shiraz Urban Railway is being built and will eventually include three lines, 40 stations and 47 km of track. Line 1 will run from south east to northwest, including stretch along Zand Ave. between Valiasr Sq. (good for visa extensions) and Imam Hossein Sq.