Hi there,
we moved to Sydney in June last year and this is what we found :
IKEA - for furniture, kitchen items, bedding
fantastic furniture - got living room and dining room furniture, have to say the quality of the dining chairs especially isn`t great but the rest of the items ( table, couch), are fine
appliances - http://www.2ndsworld.com.au/ , these are items that are last year`s model, end of the line, in a damaged packaging etc which kicks the price down while you still get a well working appliance ( got fridge and washer)
for small stuff like kitchen things etc there is IKEA again, Kmart, Big W, Target
Got a nice set of cast iron pots from ALDI, they still work very well after 10 months use
It`s going to be quite a chunk of money. If you don`t mind used furniture or appliances, there is always www.gumtree.com.au