The South Gardens, immediately below the Castle walls, were originally laid out in the 16th Century, but were beautifully remodelled by the architect Josip Plečnik (who also worked on the renovation of parts of the castle itself) in the 1920s. Nearly half a kilometre long, they are very well maintained, and also provide superb views over the city and the terraced gardens of the palaces below.
I walked slowly through to the exit at the eastern end, by the Lobkowicz Palace; most people were coming up the other way, but I'm sure that west-to-east is easier and more pleasant. With the sun shining unusually brightly on my first morning in Prague I literally had a warm welcome to the city. I found a photographic exhibition half way along, with big blow-ups of some good Black & White from the late 1940s.