I really recommend Davids Airbnb for everyone looking for an accomodation near the center of Sydney. You got everything you need in your surroundings and with bus or train you are in the city in less than half an hour. The next bus station is 80m from here and every 10 min you can get on the next bus. The next shopping center is 9 min by foot. David is a nice host and you can ask him everything, if you need to.