By Train: From Edinburgh's main Waverley Station it's just a short 5-10 min walk, go up the ramp, heading west onto Waverley Bridge (where all the buses stop), turn left and immediate right up Market Street to The Mound. Cross The Mound at the pedestrian crossing and go up the steps into Lady Stair Close between The Wash Bar and Porto et Fino. Walk diagonally across the pedestrian square (you will see the apartment on your ten o'clock - it's the top one overlooking the square.

From Edinburgh Airport: Take the Airport Shuttle bus (runs frequently) to it's final destination on Waverley Bridge at Edinburgh's main, central station (called Waverley Station).
It's now a 5-10 min walk uphill with a few steps too so take it easy and enjoy the views. Turn left as you get off the bus and then turn right up Market Street and carry on as above....

By Car: There is a multi story car park 5 mins walk from the flat on King Stables Road (4 hr max and £2 ph between 8:30 am and 6:30pm) and metered parking nearer on Johnstone Terrace (£3ph same hours). Try the web site parkopedia for other car parks for £15 and £19 per 24 hrs, 10-12 mins walk away and there is sometimes a private drive available for £5.50 per day quite close. Edinburgh City Council out of town Park and Ride car parks are mostly free and many include overnight parking.