There are a great many sights to visit outwith the towns and bus services regularly pass some of the main sites. Taxis will be happy to take you to any of the destinations you desire and some would even be reachable by cycle hire. There a numerous private tour operators who will happily package a tour specifically for you. You will find details on Orkney.com | This is Orkney.
Use the links below for further details on timetables and transport links from Kirkwall and Stromness.