The Apartment is located at 32 Elm Row, post code EH7 4AH. The flat position is 2F3 (second floor, third flat, white door. It is opposite the Edinburgh Central Youth hostel, inbetween a Cafe called Cafe Bellina and a shop called Capital Cartridges and has a grey door. It is the top end of Leith Walk section of Elm Row, and not the slightly recessed section of Elm Row up the hill. If you are getting a taxi tell them it is opposite the Edinburgh Central Youth Hostel.  Being such a central location it is easy to find and only a short walk from the bus, train and tram stops. 
Taxi numbers are: 
City Cabs - www.citycabs.co.uk 0131 228 1211
Central Taxis - www.taxis-edinburgh.co.uk 0131 229 2468
Or you can also use Uber www.uber.com/en-GB/cities/edinburgh/