Hi mate,
Feel free to contact me if you need a hand with anything - I live in sydney and run a small tree company here, did a year in forestry in NZ also. Mudgee is a quiet little town, it wouldn't be my first choice if I was coming to aus. Rents aren't that cheap, there isn't a lot to do, and wages are pretty basic. You'll need a car to get around. There's a bit of forestry nearby, but you need tickets to get into it which is $$$ and time. The pay isn't that great once your in the door either. There is seasonal work doing firewood to service the nearby blue mountains area, but again not great $.
What's your situation, are you a climber/forestry/?? Might be able to give you a hand getting started with a bit of casual work with some mates if you need it.
Regarding gear, depends what you have. I'd probably sell your saws in NZ where they'll get good $, and buy in aus where you can probably get better stuff for less. If you can't get a good price, bring them along though. Be sure and clean your boots etc, before bringing them, and when asked if you ahve been in rural areas, farms, or have ever walked on grass or touched dirt in your life be sure to answer 'no' with a very straight face. Worst case you have to pay to have your stuff microwaved. Not sure what other gear you've got, bring harness etc, decide on your ropes on a case by case basis. You can get 50mm of poison ivy 11.7mm over here for about $200.
Feel free to PM me if you need someone to give you a hand on this side.
Shaun