Costco – Grays – Opening Hours & Store Details Costco can be found in an ideal place on W Thurrock Way, approximately 1.79 miles west from the centre of Grays, in West Thurrock (a few minutes walk from Ikea Lakeside and Lakeside Shopping Centre). The store looks forward to serving the people of Aveley, North Stifford, South Stifford, Ship Lane Residential Area, Chafford Hundred, West Thurrock, Pilgrims Lane Residential Area and Grays. This page will supply you with all the information you need on Costco Grays, including the operating hours, address info, telephone number and other important info.