By Rail (Train) -
The East Coast line is the fastest inter-city railway in Britain, and links Edinburgh's Waverley station with London and Europe. ScotRail, Railtrack and West Coast lines link the city with Glasgow and Northern and Western Britain.
http://www.rail.co.uk/ukrail/planner/planner.htm Railtrack TimeTables Online(covers the whole of the UK)
www.thetrainline.com Purchase tickets and check timetables in Britain.
Edinburgh's main railway station (Waverley) is in the city centre and can be reached by taxi or bus. There are services to Glasgow and a variety of other destinations in Scotland and England. Most train services also operate from Edinburgh Haymarket station which is on the main bus route between the airport and city centre
For further information and to check timetables contact :-
Scotrail
Tel: 44+ (0) 3457 484950
Web: www.scotrail.co.uk
From Waverley Railway Station, you can take a taxi or a bus to the Old School House.
You can get a traditional black "London Taxi Cab" from the railway station and it should take between 15 and 20 minutes depending on the traffic. The fare should be between 5 GBP and 10 GBP, again depending on the traffic.
To get a bus, walk up to Princes Street ( 2 minute walk) follow the directions in this link it will cost about 80 pence and take between 15 and 20 minutes. The bus stop is very close to the Old School house (less than a minute walk) when you get to Colinton.