I'm in perth, and have been for seven years now. I'm 21 and DP is 24.
I can't say as I see why you'd want to live close to the city. It's grimy and crowded, and there's no garden. There really are plenty of amenities and such in the suburbs, as well as lovely big parks and yards.
Last September we bought a 3x1 in the south eastern corridor, admittedly not a flash area but it cost $235 000 for the house and shed, which sits on 930sqm. I've lost touch a little (lot, as I came here at 14) with house prices in the UK but in Perth right now that's decent. We pay $230/ week mortgage, we were paying 300/ week rent for a piddly house in the ghetto.
I will admit, the education here is in...an...interesting state. Doctors are expensive- I drive nearly 80 minutes and pay $85 for my doctor but DP informs me I'm batshit. He goes down to the walk in clinic.
I suppose I never really had many issues acclimatising to Australia as my mum is a country girl and it was more like visiting a place you'd heard so much about that you could drive yourself to the city from the airport.
Your dcs won't run into issues with sport. Sure, Australia loves its sports, but it doesn't expect everybody to follow them obsessively.
One thing your dcs will probably have trouble with is how far ahead they are in some areas and scarily behind in others. I was streets ahead in English but my maths was so, so far behind I had after school tutoring for a whole year to bring me up to speed.
Sorry this is a little disjointed, there's a toddler swarming my leg and a different toddler in the linen cupboard.