Peebles - The Royal Burgh : Visit and discover the County Town of Peeblesshire. The official website, A Guide to Peebles - Visit and discover the Scottish Border town of Peebles and the County of Peeblesshire. This site contains all you need to know about our town whether you planning a visit to the Royal Burgh or if you live here. Find details of places to visit, where to eat, where to stay and what to do. Take advantage of the vast choice of cultural, sporting and artistic attractions.