At Dubai airport. I'm thinking that next time I will stay at one of the hotels at the airport, and save the hassle. Then, if you want to see the town you can hire a taxi. Staying at an airport hotel worked well for the departure flight in Sydney.
The flight to Sydney is about 13 hours, and we arrive after the airport curfew just after 6am. Using the Smart passport machines is the quickest way through Customs. Unlike the United States we don't have the fingerprint scanning system, which I believe Australia needs to have for security reasons, although Australia is very safe. It pays to be vigilant.
If you arriving in Sydney the cheapest way to travel is via the bus. I caught the Airport train that leaves from under the airport. You can also travel to the Domestic Airport also via train.
Sydney is my home town, and one of the best cities in the world, although I am of course biased. The weather, the beaches, the cultural life, employment opportunities, National Parks, Sydney Harbour of course, great food, and our egalitarian Australian culture are the highlights. After years of under investment in infrastructure we are making massive investments in infrastructure in Sydney, so we can move more people and goods more easily around our ever growing city.
Further Reading
Harcher, Peter, The Sweetspot: How Australia Made It's Own Luck and Could Now Throw It all Away