Claudia, it depends upon your definition of a ‘normal’ bank account. Yes, TW will give you bank account numbers in all the countries that you have currency in. You can transfer money to and from TW to normal bank accounts. You can also get a debit card. While technically, TW (or WF) are not actual bank accounts, they operate almost exactly the same as a normal bank account.
From my experience in Australia (not sure about the UK), money transfer companies like TW or WF will provide MUCH better rates and fees than any high street bank.