My home is located close to the centre of Edinburgh. It is on the 300 bus route from the airport, taking around 45 mins. If you are up for getting 2 buses or a tram it will take roughly 30 mins. It is also roughly a 20 min walk from haymarket station or a 10 min taxi.
In the local area there are plenty of shops, pubs, fast food restaurants and a Costa at the bottom of the road all within easy walking distance.