From the airport:
The airport is a few miles out of town but has bus links and taxis:
You can get a taxi into town for c.£8-10 (Cragie’s Taxi’s 01856 878787; Bob’s 01856 876543; Orkney Taxis 01856 875511)
Integrated Travel Guide:
Orkney Islands Council publish a handy travel guide (bus, ferries, planes etc) which can be picked up from the Kirkwall Travel Centre / Tourist Information Centre on Junction Road.
Buses can be hailed from anywhere on the side of the road!
Download a PDF from here: http://www.orkney.gov.uk/Service-Directory/T/transport-guide.htm
Orkney Ferries timetables (note dates of winter and summer timetables): http://orkneyferries.co.uk/timetables.php
**Please note that there are summer and winter timetables/guides, please check which is current!**