Русско-англо-русский юридический словарь

Open an account with your bank or building society and earn interest on your savings. (Daily Record)

to set up an account: to open an account, to make an agreement with a bank which gives you a place to save money (gymglish)

"The attitude of the CEO means I’ve set up an account with another bank now." (Northwich Guardian)

If you freelance or run a small business, set up an account at a neobank such as Oxygen, Lili or Lance that focus on business banking. (Nasdaq)

As the bonuses elsewhere are for switching though, to get them you'd first need to set up an account at a different bank, then once it's up and running move it across. (MoneySavingExpert)

To receive the money, Ms. Churchill had to fill out a “membership form” sent by an organization calling itself the MacKenzie Scott Foundation and set up an online account with Investors Bank and Trust Company. [...] Now, months after she set up an account at a bank that does not exist, Ms. Churchill is aware of other apparent victims. (The New York Times)

In theory, yes, people would be able to open an account at a central bank and hold their money there; in this case, commercial banks would probably be able to access the accounts on some sort of private-public partnership. (The Independent)