Hi admylin! I agree with what the others have said. Hang onto your stuff. We had a relocation package and shipped absolutely everything.
It's tragic that IKEA isn't here yet - there's some reason why not, but I believe they will be coming here sometime. In the meatime, I'm in severe withdrawal!
Cost of living is hard to compare because some things are much cheaper, others more expensive and it depends on your lifestyle. However as Shells says, there are loads of cheap/free things to do with children.
Today for example was lovely and sunny, so we went for a walk along the Waterfront (I forgot to say, I live near Wellington too). We had brunch at a cafe, watched the boats, seagulls, fountains etc, played in the playground for a bit, then stopped to listen to a reggae band doing a concert in Frank Kitts Park. (dd1, aged 3, rushed to the front and favoured the audience with some excerpts from Swan Lake). All free except the food and you could always bring a picnic!
We feel that the quality of life we have here is in the stuff that money can't buy iyswim.