Chinadoll it takes around 20mins by car from the airport to Lord St but allow more incase of traffic and you want to get there a bit early so you can calm yourself for the day.
The airport is on the train line but it is quite expensive. You can catch the bus to the airport they run around every 10 minutes and goes from Bondi Junction through to Burwood via the airport. The map is online here:
http://www.sydneybuses.info/uploads/...400_410map.pdf
Good luck
