I stayed over at Nilam's place over the New Year's. Even though it is out of center of Sydney, it was a much more affordable option and just what I needed. There is a train station close by and you also have taxis or uber if you don't have a car.
Nilam is very sweet and kind, and made me feel safe and right at home! The room was very comfortable and tidy, as well as the rest of the house. I found the neighbourhood very peaceful, a nice option if you want some peace and quiet but still want to be close to the city center! :)