If you go:
The DoubleTree by Hilton Hotel Alice Springs has a super friendly and helpful staff, plus one of the town's best restaurants, Hanuman, in the lobby. Be sure to say hello to Andrew the Peacock, but don't let him get too close to your cookies!
Alice Springs Desert Park is open from 7:30am to 6pm daily, with an entry fee of $25 per adult. Budget at least a couple of hours to explore the grounds and the nocturnal house. Don't miss the Wild Bird Show, held at 10am and 3:30pm at the nature theater.
Alice Springs Reptile Centre is open from 9:30am to 5pm daily, with an entry fee of $16 per adult. Budget at least an hour and a half. Don't miss the reptile show, at 11am, 1pm, and 3:30pm, for an opportunity see some of these amazing creatures up close. Who knows? You might not be that afraid of snakes after all.
The Watertank Cafe is a great place to grab lunch and recharge, with delicious toasted wraps, free wifi, and playful decor (it used to be a plant nursery, so there's plenty of greenery). Even though it's a bit off the beaten path, it's well worth the trip. Open from 9am to 3pm (2:30pm on Sundays).
The Overlanders Steakhouse is a lively spot to grab a drink and sample some classic outback fare. Definitely get the sampler. If you're lucky, you might even catch a staff wobbleboard show. Or just ask for a demonstration.
Disclosure: I'm traveling Australia for my DTour of a Lifetime sponsored by DoubleTree by Hilton.