Western Plaza Barbers 29119 S Western Ave, Rancho Palos Verdes, CA90275 The Western Plaza Barber Shop has been around for years. How many years? Well, one barber who recently retired started…More there in 1958. The current owner, a relative newcomer, began cutting hair there in the early '60s. So enjoy – few people in California can get their hair cut in an establishment with history.