The following links take you to a page with information on various modes of transport within edinburgh, with links to maps and relevant websites so that you can find the most convenient route from A to B (the list is in alphabetical order):

Bus Services
Two companies - Lothian Buses and First Group - operate a comprehensive network of bus services in Edinburgh. Tickets for city tours and other bus and coach sercies can be purchsed at the tourist information centre or on the buses themselves.
Lothian Buses: +44 (0)131 555 6363
First Group: +44 (0)1324 611 111
Edinburgh International Airport
Edinburgh airport is eight miles west of the city. For more information click on the link above to go to a comprehensive guide to edinburgh airport.
Address: Edinburgh, EH12 9DN
Telephone: (0870) 040 0007
Train Services
You can travel between Edinburgh and London in just over 4 hours. There is an overnight Caledonian Sleeper Service, operated by Scotrail, that runs six nights a week from London (Euston) to Edinburgh to too.
Telephone: +44 (0)8457 484950
Website: www.scotrail.co.uk/www.railtrack.co.uk