"It's not your typical singing show," Lisa Rinna tells PEOPLE of ABC's Sing Your Face Off. Ain't that the truth: The series, which premieres May 31, takes five celebs (Rinna included) and every week, transforms them each into a musical icon – hair, makeup, voice, dance moves and all. Judges like Debbie Gibson and Darrell Hammond keep score, but "no one's competing to have the best voice," Rinna explains. "You're competing to be the best impersonator, really." Read on to see the first round of amazing transformations.