Within the first few days you should get a Bank Account so that you can take care of finances from your home country
Some Banks which are well known are Chase and Bank of America
Since you are an international student you should carry the lease agreement (as address proof), i20 and passport in order to open a new account.
Some link for offers to open a new account:
Banking with Chase | Refer-A-Friend Bonus
Just like sending money via wallets, here you can use Zelle to send and receive money via your bank app.
You can watch this tutorial for more information: