Don't worry, there are still rooms available for October in Sydney.
There are also some houses available for move-in by the end of September or October. There are two-bedroom and one-bedroom options, but the one I saw today is a 3-bedroom, 2-bathroom, with 1 parking space layout.
The layout is square-shaped, and there are amenities like a swimming pool, gym, and also security.
As for furniture, it includes a refrigerator, washing machine, oven, microwave, bed frame, mattress, sofa, dining table, chairs, air conditioning, dryer, and so on.
Next door is the WWS supermarket and the Asian supermarket. Downstairs is the bus stop, making it convenient to get to UNSW and University of Sydney.