The shipping time depends on whether you use standard or expedited. International standard shipping takes 4-14 business days from the shipment date, while international expedited shipping takes 4-6 business days from the shipment date.
Buyers outside the US are responsible for any customs duties, taxes, and fees required for the shipment’s entry into the destination country. I'm not sure about South Africa's import policies but I can definitely say that you would be paying VAT on the package's entry into the EU.
Once your package ships you'll get an email with a tracking number. You can track the shipment on the shipment company's website, which would be either DHL (standard) or Fedex (expedited).