I might suggest that you visit everything in the area then:
Kings Canyon (and if you're fit, take the high walk) - but do it early in the morning. Start the walk at about 7am if you can. If you take the high walk (about 3 hours) it'll be stinking hot as you're trying to clamber back down. Sunset over the canyon from the resort is special and they have a viewing platform built for this, but keep kids in check - there are dingoes around. If you have a shower in your caravan, don't worry about turning on the hot water system as the water from the taps is already beautifully warm.
Kathleen Springs. We didn't stop, we should have. It's not supposed to be much more than a nice waterhole, but it's there and we should have at least seen it while we were there.
Kings Creek Station. Camel burgers (I don't like camel, the meat tastes funny to me) are a specialty. They do R44 flights over the canyon, camel rides and I think quad bikes as well.
Ernest Giles Road. Bloody hell! As soon as you get on the loose stuff put it in 4WD. There was a large tree beside the road not far from the bitumen that had really, really soft sand in it and we were towing the van!
Yulara - don't bother buying any digeridoos, they might be real but they're not made locally - there are no trees with termites nearby! The ones they have are priced for overseas tourists. Make sure you do the sunrise view of Uluru and immediately go for the walk around it (10.6km). If you leave it later in the day like we did (3pm start, 43C) you'll need a LOT of water. We took 7.2 litres and had to refill at the tank half-way around. Then do the sunset view, and next day the sunrise view of Kata Juta followed immediately by a walk through the Valley Of The Winds (same caveat here - heat of the day).
There are two major roadhouses to stop at on the Lasseter Highway. Curtin Springs sells food, souvenirs and has camping areas at it if needed. Mt Ebenezer sells genuine aboriginal artwork and we have a piece on our wall at home.
Refuel at Yulara or the Shell at Erldunda. Don't buy fuel at Mt Ebenezer or Kings Canyon Resort. Fuel from Kings Creek Station is not quite as expensive as the resort up the road, and it was good fuel in 2010 so if you need to fill up on Luritja Way, that's the place to do it.