After reading many, many different posts on many different forums, i'm going to try and explain how it all works.
Firstly your VETASSESS is only done in order to get you the visa. It wont get you a grade A licence.
Once you have had your visa granted you can then apply to the TRA for your ARTC. It will cost you AS$300. You fill out the application form online and print it out. You then need to attach as much evidence as you can. Treat it as if the people reading it are inexperianced! This might include. References from current,previous employers, your employer you was with for your apprentership. Explaination of your role at work. Etc. People are saying the more you put in the better. Some have done 4 pages, some 50/60, and i read that one person had written 150 pages! So i'll leave it up to you. If you have supplied enough evidence you should get your certificate. If you havn't they will book a technical interview, where they will ask you a wide range of electrical questions. For more on this look at the British Expat Forum. Once completed they would send it to an AUS address. If you havn't got one they will hold on to it untill you arrive in AUS. If you've got a friend in AUS they could send it there.
Once you have got your ARTC you can then apply to PEER to do the AS wiring regulations. As far as i have read it appears to be like the BS7671 course. It will cost you AS$750 (i think off the top of my head). You will then need to purchase the books to revise with. These will cost you the same as the course. Once applied they will send you out a workbook to work through. This is like the british update course, ie find the reg number in the book and explain. There are people to contact if you need assistance. Once completed you send it back. You can then book the one day revision and exam for when you arrive in AUS. They do a exam every two weeks, so could be arranged around a holiday or during the first weeks of a move. The exam is apprantly just like the workbook and it is open book so you can take in the regs books. I have read that they will give you the result there and then, so that you can take the 15min journey to the Adelaide city office of the Office of Consumer and Business Affairs to apply for your license. You can then take this to any state in Australia and they will transfer it for you.
I hope that this covers most of it, i'll appoligise now if i have missed anything out.