Hi, I realise this is an old thread and you've already made your decision, so this response is more for the benefit of anyone else researching the same topic who is in a similar situation. So, I would actually recommend thinking about Strathfield and surrounds. Because it's a major hub station, you are about 20 minutes by train from the city centre and only 5 minutes more to North Sydney. It's also near the intersection of a few A-roads, so you are also close to other centres by train or by car if you end up working in say Parramatta or Macquarie Park. Surf-wise, it looks inland but you are actually only about 30-40 minutes drive away from the southeastern beaches like Coogee or Maroubra. Lots of other sporting facilities in the suburb and nearby - multiple golf courses, tennis courts and bike tracks, and Sydney Olympic Park and Bicentennial Park are only a couple of minutes drive away, and there are little bays and beaches on the Parramatta River. Strathfield town centre itself is very Korean, but there are a variety of cuisines and nice cafes in nearby suburbs like Homebush.
Budget-wise, the grand houses in the "Golden Mile" of Strathfield are going to be beyond your budget, but you should be able to get a house that ticks your boxes in the surrounding areas at that price - say the south end of Strathfield, or next-door suburbs like Homebush, Strathfield South or Enfield - where you are still only a 15 minute walk or short bus ride from Strathfield station.