In reply to elsiem: Edinburgh airport is 8 miles out of the city centre. The city centre is really easy to get to by bus as I mentioned.
Travelling from Edinburgh Airport into Edinburgh
If you are flying in to Edinburgh International Airport there are various transfer options to Central Edinburgh:
By Bus
Public bus services stop outside the UK Arrivals door on the terminal forecourt. There is an express bus service to Edinburgh city centre (No. 100). Buses into the city depart from stand 18, and operate 24 hours a day, seven days a week.
The frequency of the service is from every 10 minutes at peak times through the day, to every 30 minutes at night. The ticket cost is £3 single or £5 return and can be bought from the information desk at International arrivals, from a desk at the bus stop or on the bus itself. The journey takes approximately 25 minutes and stops at Waverly Bridge, near the main railway station and bus station which are just off the city's main street, Princes Street.
Timetables are also available from the onward travel desk in the UK arrivals hall and the information desk in the international arrivals area.
Want me to book your tickets
Good luck on your travels.