Open at the new bank on the full document list, then transfer the balance and the status.
It is a defined procedure rather than a favour, which is worth knowing if a bank has turned out to be the wrong choice. The sequence matters: the new account exists before the old one is emptied, so the company is never without somewhere for money to arrive. (Bank Accounts Instruction, Para. 39 — lex.uz ↗)
What you are moving is the main-account status as much as the money — the bank holding it is the one that can suspend debiting across all your accounts and the one through which you see the accounts you hold elsewhere. (Bank Accounts Instruction, Paras. 36–37 — lex.uz ↗)
Answer a few questions and the full cost — one-off and monthly — is on the screen in minutes.
Part of the answer bank — 195 questions, each cited to the article it rests on.