Willow & Pete's flat is the perfect place to stay at in Edinburgh. It's close to the city centre, you can either walk there or get the bus and they are both very nice and welcoming! The house is lovely and it has everything you could need for your stay, and the views are also amazing! Willow & Pete left a folder with a bunch of suggestions of things to do and see in Edinburgh and also places to eat and drink, which is very thoughtful!
We stayed there twice, having done a 3-day tour of the Highlands in between our stays, and we'd absolutely recommend staying with them :)