Yes Kew is very pricey, I wonder which suburb you are in now, would be interested to know.
We had a fortnight in Vermont. It's one of the most sought after locations in Melbourne but I couldnt see why, just house and houses and no train to get anywhere. However, I do wonder why you have to get a taxi to get a newspaper? Surely you are on a bus route? How far away can your nearest shop be in the Eastern Suburbs?
I can suggest a few things you may like to do at the weekends, or during the week if you can find a bus...even if it takes you to the train station, then you can get anywhere you like.
The Dandenongs are absolutely stunning, you do need a car but maybe could go at weekends.
Warrendyte is a lovely little village type place with a river running throught it, loads of lovely coffee shops.
St Andrews market on a Saturday morning is fantastic, up in the trees with the Kookaboras (cant spell it)
Hurstbridge is a nice little town too
There is a really nice big park between Greensborough and Warrendyte....I cant remember what its called....Wester something or other, kangaroos running around, its huge, lovely walks.
Get into the city and go up the Eureka tower to get a feel for where you are, or walk along the Yarra, or head to the Botanic Gardens.
There is the Yarra trail that you can walk along that goes through the Eastern suburbs into the city
Bruswick street is a great place to stroll along, people spotting, coffee drinking
Take the kids to Collingwood Farm Park (Its not called that, but thats what it is!)
Get down to the Great Ocean Road, we lived in Toruay for a while, get down the Kiosk on Fishermans Beach, and say Hi from us to the friendly owners Josh and Tom, drive on to Lorne, the most beautiful seaside town imagineable
The Grampians are stunning (our favourite place of all)
I know you may not feel like it, but there are a lot of things you can aim to do....
I reckon (for families/couples) prior to leaving the UK EVERYONE should have a deal with their families: Give it two years but if one of you is unhappy and wants to go home after 2 years then you go home. No questions asked.
For me, this was the big problem. I never thought my wife wanted to go home, so I felt I was in Melbourne forever, it made me feel really desperate at times. In the end when I really told her how I felt, I discovered she felt the same way (thats why I say talk to your husband!) But Im so pleased we lasted 26 months and had some amazing experiences which we will never forget.