For this walk we started at the car park by the tennis courts, walked over the little historic bridge and then took about a 20 minute hike uphill to the main gates. There are a few trails to choose from, I chose the summit hike. Paths are narrow and there are many turns going up, and lots to look at as you walk uphill. Make sure you keep looking where you are walking. It could be easy to fall off the path while looking around.
The first interesting sight I saw was how the hillside was full of rocks.