The Breakaways is a short drive from Coober Pedy. Me and my friend took the 20 minute drive there one evening for sunset. If you ever find yourself in the middle of Australia, I would definitely recommend coming here at sunset or sunrise. As the sun changes colour, so do the colours of the stone which is pretty impressive.
You can drive yourself there for free, a four wheel drive is definitely recommended, or there are tours in Coober Pedy which will drive you there. I have heard great things about The Stuart Range tours and The Breakaways is just one of many stops on the tour.
It doesn't rain often in Coober Pedy, but if you arrive on a rainy day, the roads that take you to The Breakaways may be closed.