Saving Account
You can open a savings bank account in any national banks or along with your current account. You could transfer your money in current account to your savings bank account to earn more interest on your money with the bank.
Usually when you open a current account it is advisable to open a saving bank account along with that. As the interest rate on your current account would be very less you could transfer your money in current account to your savings bank account using your cheque or online banking. Many type of Savings bank accounts available for you in most of the retail banks in UK, Instant access Saving account, Online Saving account, fixed deposit etc.
If you are a student you can open a student savings which comes many features as in the current account, plus you would also get some promotional offers such discount rail pass, student credit card, mobile offers, etc. So cheque or shop around the high street retail banks to get more from your student savings account.