South Austin Barber Shop – Austin, Texas. The Wet Shave Club helps you find a wet shave barber near you. Traditional Wet Shave Barbers will use a straight razor or a safety razor. You know you have found a quality wet shave barber when they break out the hot towels, and when they start whipping up a great lather with their shave soap and shave brush. So to find a wet shave barber near you, just check out our Wet Shave Barber Locator. Here at South Austin Barber Shop, our goal is to provide our customers with the highest quality of hair care combined with an authentic barber shop experience they can count on every single time.