Help on Sydney Suburb for a family of 3

Me, husband and 3 year old son would be migrating to Sydney next year.Yipeee!
We don't have friends there, hence we'd be staying in a hotel for a week after arriving.
As of now, we're looking up suburbs around sydney that we'd probably stay in during our 'adjustment period'.
But we'd like to narrow down our search...please help us guys!
These are our criteria:
- less than an hour from the CBD [supposing we'll work in the CBD, we'd have to leave our son at the daycare, and so we have to be home early to fetch him]
- accessible by train/bus [we probably won't be buying a car immediately, maybe after a few months]
- near shops/grocery stores
- with good primary schools [i think most suburbs have this]
- good, family-friendly neighborhood
- maximum budget is 350AUD [i think a 1 bedroom flat/unit will suffice since our son sleeps with us]

Much thanks for the help!