The story follows the members of the Hopeless-Savage family. Parents Dirk Hopeless and Nikki Savage are old-school punks who were part of the 70's punk scene. They married and moved to the suburbs to raise their children. The three oldest, Rat Bastard, Arsenal Fierce, and Twitch Strummer, are grown and have moved out of the house; youngest daughter Skank Zero is in high school.
The thread running throughout the stories is a family which superficially doesn't fit the "norm" but which can still stand together and function better than most "normal" families.