In Australia you provide the Royal Thai Embassy Canberra with all the required documentation including proof of income by Super fund, bank account and bank letter or whatever, that you have means that meet 800,000. You do not need to have a Thai bank account or transfer money to Thailand. Leave it in Australia if this suits.
Have everything notarised via a JP then send to the Embassy via certified mail.
All the steps to do this are available on Canberra's web site.
Simple process. Do it properly and you will receive your Visa (OA or O ?) within 7 days.