I had mine done 2 months ago.
You need to go see your nut doctor - contact your GP to see who they recommend. Its possible they may even do the op. After the consultation (they play with your nuts and explain the op), they will book the op at your hospital and you follow up with your medical aid.
Normally the op is painless and takes less than an hour - thats from walking in to walking out. The actual snip is only 15 minutes.
Sadly I had some pain with mine and it was damn sore - very sore.
Its important to wear tight underpants and not boxers for two weaks as it gives support to your nuts. I was able to go to work the next day and the discomfort was gone afte 3 days. You only need to take Panado for the pain.
Now from experience, if you have any discomfort (itichy nuts, pain, swelling) after 2 weeks, you have to go to your GP/nut doc. I ended up with an infection and my right testicle was the size of a tennis ball - cycle so it made it worst. I got some Mybulen for that and the balls where back to normal size after 5 days
Now on your medical aid, I had to pay in R1400 plus R500 for my consiltation due to the rates I was charged. I'm on Discovery Costal Core.