However, don't walk alone - for many reasons it's just not safe. The first is in the event that you injure yourself (which likely if you suffer from dyspraxia :P ) you'll have a buddy to help you, and the second reason is that (although the chance is remote) you may come across someone with ill intent.
Don't go overboard now, I walk the trails without ever worrying about this problem, but Cape Town is a city with it's bad elements - so best be safe and not ruin your vacation.
I took this photo on the slopes of Lion's Head, just above the Round House restaurant that overlooks the Atlantic Ocean and Camps Bay. If you drive there, you'll find a few places to stop and park your car so that you can take a short walk amidst the smell of fresh pines.