About River City Flooring Looking for local flooring and carpet in Conway? River City Flooring has a wide selection of the highest quality carpet, wood, laminate, and vinyl flooring at the best prices. Conveniently located in Conway, AR, River City Flooring has an experienced and knowledgeable staff who will guide you through each step of selecting the right flooring for your home or business. Whether you need a new carpet, wood, laminate, or vinyl, our friendly flooring experts will help you find exactly what you need to fit your taste, lifestyle, and budget. We offer shop at home appointments to for your convenience. Make an appointment with our Conway location to begin your new home flooring project!