Be aware that most banks do not operate in every state of USA.
Also, the way we do online banking in Aus to transfer money from one bank to another, does not work in USA.

ie Seriously, they sent a written cheque in the mail, from one bank to another bank to transfer money.
And it took over a week!

So first, identify which state(s) you want to invest in.
Then find out which banks operate there.
Then choose between them!

US banking is a whole different system to ours, and much more complex because there are hundreds of banks, which may operate in a small area or across most of USA.

We opened an account with a bank which operates in Florida.
Then decided to invest in Arizona, and found that the nearest office of the bank was Chicago (half of USA away!)

We are now with Wells Fargo, who have been fantastic BUT only because we go over frequently and have built professional relationships with the staff.