It really depends on your budget to be honest
We stay in North Edinburgh and are really happy. Stockbridge, Craigleith, Corstorphine, Blackhall are all really nice areas in the North.
REALLY depends on budget
All the areas Natalie is suggesting are great safe kid friendly but also rather expensive to buy or rent. Avoid Niddrie, Pilton, Oxgangs, Sighthill. First ones that come to mind.
Hey, 4 years ago I moved from Dalkeith(Midlothian it’s 12 miles from the city center)to Kennoway. But I stayed there for 22 years and I moved for a quieter way of life and it’s a hell of a lot cheaper here. Midlothian is a lovely area but I would avoid Woodburn and gore bridge . I stayed in Newtongrange and it’s lovely there. East Lothian is a fair bit more expensive but just as nice if not nicer. Would avoid wallyford and Musselburgh. Any question happy for you go message me xx