Brick & Mortar Barber Shop – Indianapolis, Indiana. 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. Established in 2015 by Brandon Burdine, Brick & Mortar Barber Shop aims to bring clean haircuts of varying styles to the downtown Indianapolis area. Located in the heart of downtown, right across from the City Market District, you can find a great shave and a haircut Monday through Saturday. Book your appointment in advance or stop in by chance today!