Argos – Hill Street Shopping Centre, Middlesbrough – Opening Hours & Store Details You can visit Argos in Hill Street Shopping Centre on Johnson Street, about a 0.31 mile driving distance north-west of the centre of Middlesbrough (not far from Hill Street Centre and The Cleveland Centre). The store is a positive addition to the local businesses of Gresham, North Ormesby, Billingham Reach, Middlesbrough Town Centre, Linthorpe, Tussock Grassland, Berwick Hills and Haverton Hill. On this page, you’ll find open hours, address details, direct telephone and other information about Argos Hill Street Shopping Centre, Middlesbrough.