I came with my partner for the 2012 Fringe and managed to get a room at Zeb's for the 3 night I needed. Fringe was amazing. The flat is well situated for all I wanted to do, on a bus route if it rains and you do not want to walk but otherwise under 30 minutes walk from city centre. The fact that I was staying in a liven in flat rather than in an hotel or ho;stel meant that the experience was really relaxed and stress free.

I did not use public transport once, and yet I went to Arthur seat, to the shore, to the observatory and obviously all around the centre for Free Fringe venues (attending nearly 30 shows over 4 days).
For visiting Edinburgh for tourism or festival, I can really recommend this arrangement