The Quahog Thrift Store is where the Griffin family goes so Peter Griffin can get a new suit.
In "No Meals on Wheels", Peter used his old suit to build the Adolf Hitler Scarejew. It is here that Jim Kaplan convinces him to buy a half-finished coloring book and red flannel feety pajamas. Herbert also came here, but to buy a trap for little boys. Stewie found an "On the Raggedy Ann" doll, but found he wouldn't play with it often if it was purchased.
In "Veteran Guy", Peter gets special attention after putting on a naval ball cap he finds at the thrift store, so he buys more and encourages his friends to join him.