Park Regency Apartments 3128 Oak Rd, Walnut Creek, CA94597 Park Regency Apartments is a beautifully landscaped apartment community with easy access to public transportation. The…More amenities include assigned parking, a children's play area and clubhouse. Corporate housing is also available. Cats are accepted, but limited to two per apartment. Park Regency offers studios, one- and two-bedroom apartments for rent.