Post Office – Minehead, Winsford – Opening Hours & Branch Details Visit your local Post Office branch on Royal Oak Public House, 7.87 miles south-west of the centre of Minehead. The branch looks forward to serving the people of Winsford, Exton, Wheddon Cross, Luxborough, Exford, Withypool and Cutcombe. It won’t be open the entire day (Friday). Here you may find the specifics for Post Office Minehead, Winsford, including the branch hours, local map, customer reviews and more important information.