The first time I visited the walls was right at the start of my posting to this country back in 2010. That's 7 years ago! I remember it was a foggy cloudy day then. Suwon is close enough to Seoul it could be done within a day including walking the entire wall. In my first trip I came by metro and then local bus. This time, I'm taking bus #1007 from Jamsil Lotte World underground bus terminal right to the northern tip of the wall (장안문) where there is a ticket office. Tickets cost 1,000 won (2017) and you get a map and a round sticker that needs to be shown so that you don't get charged more at other ticket offices around the wall.
Let me try to describe the wall. The steepest part is in the east on Paldangsan, and the rest of the walls are pretty flat. There are watch towers along the perimeter and the patio type are open and makes for good resting places (for your sandwich, for naps, etc).
Instead of making this post too wordy, I'll make it more gallery centric. Enjoy.