Consider getting an Opal card for public transportation such as buses, trains, and ferries. It costs $10 and is refillable. Taxis and ride-share services like Uber are also available. Expect to spend around $20-30 per ride.
If you have more time, consider taking a food tour or visiting more cafes and restaurants in different neighborhoods. If you have less time, choose a few of your favorite places to visit and save the rest for another trip.
Sydney has one main airport, Sydney Airport (SYD), which is located approximately 8km from the city center. The airport has three terminals, with Terminal 1 for international flights, and Terminals 2 and 3 for domestic flights.