Why not come to Edinburgh for a holiday and just look around to see which areas you like? You could do a bit of homework with Edinburgh Solicitors Property Centre (better than signinup with an estate agent - solicitors do a lot of conveyancing in Scotland)
You could stay in one of those many airBnBs!
Giving my pots a bit of a boost after the winter
Desperately sad story of the assisted suicide of a grieving mother


