We enjoyed our stay at Carole's place! It's not in the city Center but at the end, we only needed 15/20 minutes by bus to get to Victoria Street, Royal Mile, Northbank street.
Carole was very kind and flexible with us as our flight had been delayed, we arrived almost at 1am and she was waiting for us.
Her house is very beautiful and the room is comfortable and adorable with the two-persons bed, the sofa, the tv and everything you need to put your clothes.
You have a big Tesco like 3 minutes walk, opened until 11pm during the week and 8pm in the weekends and also Costa coffee.
To go to the city Center, we always took the bus number 27 at the stop "Oxgang primary school" (other side of the road) which is really at less than 1minute from Carole's place.
Don't hesitate to ask Carole for advice, she is always happy to help or provide info.
Enjoy your stay in Edinburgh! ;)