We've been very happy with Hope Park: hopeparkdental.co.uk/ which sounds as though it will suit you well in all respects except location. (Have most experience with Grace Leek, who is great - calm, reassuring and rational - but have some experience with and recommendations for the others there too.) Welcome to Edinburgh!
Oops, pressed post too soon. South side do NHS, and my dentist went to great lengths to save a very tricky tooth for me when I know other dentists would just whip it out. They're also good at talking through all private vs nhs options for work.
I used to be terrified of the dentist, but I'm very comfortable there. The dentists are all very personable too.
Thanks everyone, lots of great recommendations! Should like there are a lot of good dentists in Edinburgh which is fabulous! And we'll done @vintagebella for going to the dentist after so long. That along must have been scary.
I have had rather mixed experiences in the past so am a bit scared hesitant!