We used Excess Baggage
to ship 30+ boxes, a TV and a cot bed from the UK to Australia (Sydney), this was two years ago and with all insurances etc it cost around $2,100. We decided to leave all big items behind (we were renting our property out so it made sense) and start again here.
The only thing I wish we'd brought more off were kitchen utensils, linen, towels, pots and pans. We should have added a few more boxes for stuff like that.
Once you get here you can hire furniture and white goods then once you're settled you can purchase. Once you're working can could also get 0% finance on electrical goods which can spread the cost of getting all of these items in one go.
Unless you're really attached to big items of furniture I wouldn't ship them as you never know where you'll be living and whether they'll fit. Ikea is getting more common here (Sydney and Melbourne) so you can access cheaper furniture, Fantastic Furniture is another of the cheaper brands.
Good luck with your plans!