We loved Edinburgh and this flat was great. It is in a great location, a close walk to the centre and the neighbourhood is nice and has great cafes and eateries. We arrived at 1am on a Sunday night and walked from the airport bus dropoff to the flat in about 10mins and without incident. They have the key in a lockbox outside which was great as we didn't need to disturb anyone with our super late arrival.
The heat came on automatically and we warm whenever we were home (basically just to sleep). We were there from Sunday to Thursday and during that time there was no noise from the club which others have mentioned, I guess it is different on the weekend.
Overall the place was perfect for us and definitely recommended.