From Edinburgh airport:
Airlink (Service 100) is Edinburgh's dedicated express service between the Airport and City Centre.
The route to the airport is served 24 hours.
Cost of tickets.
Single adult - £3.50
Single child - £2.00
Adult open return - £6.00
Child open return - £3.00

Excellent taxi service from airport approximate cost £18/£20

Waverley train station is approximately 1km. There is a taxi rank in the Waverley station. A taxi will take no more than 8 minutes and will cost approximately £5. Walking to apartment will take 20-25 mins.
Haymarket train station is closer, 0.5km from the apartment. Walking time should take 12 minutes.

Precise directions will be emailed prior to arrival.