No trip to Edinburgh would be complete without climbing Arthur's Seat! It offers stunning views of the city.
Calton Hill is a lovely climb. Besides the scattering of monuments, it offers unparalleled views of the city skyline.
Rabbie's runs decently-priced day trips and longer tours to the Highlands and other parts of Scotland. The 1 day Loch Ness trip covers a lot of ground, but our guide, Eddie, was wonderful and my mom and sister had a great time. This tour takes you to the famous lake but not to Urquhart Castle; if you really want to visit it, look into other tour companies. Also, you drive through Glen Coe but don't stop and the interpretive center there. All in all, though, it's a good time.
Great free museum full of fantastic Pictish, Roman, and royal Scots artifacts as well as modern exhibits, including Dolly the Sheep! My favorite bits are definitely in the lower few levels of the museum: the high crosses, Roman road markers, Celtic funerary jewelry, the old harp, the Lewis chessmen... I always spend more time that I mean to in here.
Flowing for 24 miles from its source in the Pentland Hills, the river winds its way through the heart of our capital to its outflow into the Firth of Forth at Leith.
The route is suitable for cycling and is accessible in part by wheelchairs and even by horseback.