There are some must do's when you arrive in Sydney. Try and stay on or near the water. Go to
this site,
this one, and this one for some great deals. You can take a shuttle, train, or taxi from the airport to most central destinations. Drop your bags and unpack later and hit the city.
Start by walking over the Sydney Harbor Bridge, and if you are daring do the Bridge Climb - day or night it is a real experience. Take a harbor cruise or the jetcat to Manly a northern beach tourist suburb, or go to Taronga Zoo. From the harbor you can do the Historical Rocks (pubs, good shopping, and restaurants) then take a jetcat to Darling Harbor and visit the Underwater World, Power House Technology Museum, shop, or go to one of about thirty restaurants - you must try our prawns, oysters, and lobsters.
The monorail from Darling Harbor takes you to the city centerpoint. There's a revolving restaurant where you see the entire city. Walk up George Street. Great bars are Jacksons on George, ANA, The Establishment, Jackson's on George, and The Basement for live jazz. King's Cross is a must and The Bourbon and Beefsteak is always open.
Quick Tips:
You can take day trips from the city to say The Blue Mountains (one hour), which is very picturesque and majestic, the Southern Highlands (one hour), South Coast (one hour), Central Coast (one hour), or the Hunter Valley (two hours). Most of these can be reached by coach or train. Our Tourist Information Centres are everywhere. Look for the big blue (i) sign. Go on the Hydrofoil from the harbor to the Olympics stadium, which is about 35 minutes.
Best Way To Get Around:
Sydney is easy and safe to get around. Car hire starts at per day. You can get rail/cruise/bus passes that will get you to and from most places. Other memorable spots are Bondi Beach where you will find beautiful bronzed Aussies-sunbaking, swimming, and surfing, great outdoor restaurants, cafes, and shopping. Buy a new bikini or swimsuit in Bondi.
If money is not an issue, shop in Double Bay in the Eastern suburbs, then lunch at the famous Doyles in Watsons Bay on the beach. If you have children they can play on the beach six feet away while you dine and have a cool glass of Auusie Chardnnay. The pub next door is owned by Doyles and you can have a beer and fish and chips there.
Everything I have described you can do in four days, though maybe not all of the day trips. You will fall in love with our harbor and bright sunny days, even in winter. There is also a cultural side to Sydney and it is worthwhile visiting The Art Gallery and Library. Go to our fish markets by light rail. They are a real experience and you can eat at one of several restaurants on the water.