Unlike the UK, Australian banks will open accounts for pretty much anyone. ID is all that is needed. Proof of address is generally not needed.
Most have basic accounts with no or small monthly fees. Be aware that there is usually a fee for using an ATM belonging to the bank you are currently with (usually around $2 per withdrawal), so if you are in an area with few ATMs, you may need to choose your bank based on ATM availability.
If Apple Pay is your thing, ANZ is your only option.
Contactless is becoming almost universal ($100 max per transaction).
Transfers to people/friends with accounts at other banks than yours will not be received until the next working day morning (i.e. a transfer on Friday night won’t get to their account until Tuesday morning… Wednesday if Monday is a public holiday).
Some of the banks may allow you to open your bank account before you leave the UK, so it may be worth checking out the websites of the various banks.