You can walk the Water of Leith walk from the south of the city to Leith Docks where there are cool restaurants and the Royal Yacht Britannia.

It's 12.5m from end to end, soft surface sometimes difficult to find connections and used by locals so not always pretty end to end but the walk can be picked up at any point, even close to centre of city, and the carrot at the end of the stick is great restaurants.  Try Loch Fyne about 1.5m further on from Leith Docks, great raw bar and seafood and service.

A native of Edinburgh, living in NY