Finding accommodation in Cape Town can be quite confusing as there are so many different areas to chose from. Areas that I would recommend looking at would be: 

• Camps Bay - amazing beach, lots of restaurants. 

• Clifton - higher end area, lots of million pound houses.

• Sea Point - In-between Camps bay and the centre, you have a lovely promenade that is great for a run or a bike ride. 

• Green point - the closest to the "centre", but that's not an advantage in a city like Cape Town, closest to the V&A waterfront but ... well the V&A didn't make my list of must do's in Cape Town for a reason. 

• Muizenberg - if you want a cheaper option. Closer to Cape point, Boulder's beach etc so even though you are away from the centre you actually are a lot closer to a lot of attractions.