Kerry-Anne and I decided to walk one of the hiking trails, The Golden Mole trail. Take a look at the route that I recorded using Map May Run.
It costs only R12.50 to enter the nature reserve. Visit The Friends of Tygerberg Hills's website for information about organised hikes. Note that Tygerberg Hill has two entrances, the one I showed in my map, and another in Plattekloof, lower down and on the other side of the hill.