Redfern is one of the best if not the best location to stay in Sydney for holidays (and even for living as a resident). Close to the center (walking distance also) by rail you can reach anything quickly from the Blue Mountains to the Circular Quay also for cheap!
The Buxton House is a real Abnb gem with a great host! The suites are clean and tidy offering everything you need for your trip for a very good price (inc. shampoo and shower gel).
If I return will definitely book in here again!