Squier hosted the program from the late 1960s to November 2020. "Music to Go to the Dump By" was, for several years, "hosted" by Buster the Wonder Dog (Squier's real-life pet border collie), with Squier serving as "faithful companion." Under that format, the show would start off with Ken talking to himself and Buster, apparently not noticing he is on the air. He talked to Buster as though he were a person; Buster makes no noise other than lapping at his water bowl and eating. After a few minutes, Ken "realizes" that he's on the air, states the episode number (which he apparently makes up on the spot) and cuts to the theme song. In March 2008, Buster died, putting this show on hiatus until later in the year. Since then, it has been dedicated to Buster and to Marie, a local stage venue proprietor who had suggested the show's concept to Squier.