There are two, weekly scheduled flights with SA Express from Johannesburg to Sun City on a Monday and a Friday, as well as from Cape Town to Sun City.
You will need to arrange a transfer from the airport to the lodge you choose to stay at.
I came across these on a short safari in Pilanesberg National Park, South Africa. They had just taken down this Antelope and only minutes after this, they had completely consumed the dead animal. They are an amazing animal and they are endangered. It would be a shame to lose them to extinction. They are an amazing predator.