By car
From the north, in Alice Springs take the Stuart Highway 87 South for about 200km to Erldunda Roadhouse. Turn right onto the Lasseter Highway and 245 km further on you arrive at Yulara). It's a sealed tarmac road - a bit of a sloping surface in places, but you can easily drive along at 120 km/hr. Far more cars on the road than you would imagine, and every driver waves hello to you that's what you get in these far off places! Plenty of places to stop and picnic and get water, although no toilets unless you stop at an official roadhouse few and far between. There's lots of wildlife to see too: camels, cows, dingos and birds.
Cars can also be hired in Alice Springs. It is a 450 km drive to the resort from Alice, and should take between 4 and 5 hours. There are petrol stations along the Stuart Highway and the Lasseter Highway. Be sure to top off your tank when you can. In addition, if you have an early flight from Alice Springs and plan to drive back in the morning, be sure to top off the day before, as fuel in Yulara is not open 24 hours - and they won't be open if you leave pre-dawn.
To the south the nearest town is Coober Pedy. Take the Stuart Highway north to Erldunda, 550 km away.
From the west the Docker River Road ends near Kata Tjuta. As this road is considered part of the Gunbarrel Highway, you will find detailed information in that article.
Driving at night can be dangerous because of animals on the road, particularly kangaroos and cows Lasseter Highway goes through cattle station land and is not fenced in all the way. Rental car agreements often prevent doing this drive outside daylight hours.
By bike
The sealed road from the Stuart Highway makes for a pleasant & relatively easy cycle tour, undertaken each year by dozens of travellers. Bicycle travellers need to be well prepared in terms of mechanical reliability, water & food, and will need to "bush camp" several nights at least.