Southern Hills Was Home to Some of the Best Pizza in Shreveport. Smitty’s Pizza has been making some of the most delicious pizzas for over 40 years, but their time in the beloved neighborhood came to an abrupt end. Smitty’s on Mansfield took to their Facebook page for the big announcement that they had to move locations. Several fans of the Shreveport pizzeria were left in the dark on where this spot would move.