Burnside Adelaide in Sydney

Hi,
Would anyone with knowledge of both Sydney and Adelaide be able to tell which suburbs in Sydney that somehow can be said "equivalent" to Burnside (Arindale, Tusmore etc) of Adelaide.
I am after suburbs that are suitable for family (safe, close to train, good school) but not too far from the CBD. Due to the diff in size of the 2 cities obviously the definition of "far/close" is also relative.
(I may have to look at suburbs nearby depending on the price tag)
Thanks in advance.

PS Any comments on Canterbury please ?
 
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