There are many ways in which a bank will give you interest on money you don't need to use in the short term. Savings accounts pay interest and you can withdraw money from them at any time. Money market accounts pay more interest and you can still withdraw from these, though at pre-determined intervals, such as seven or fourteen days, or three months.
A word about bank charges
Banks do in effect charge for all their services. Bear this fact in mind: you may read about free banking and it may sound free, but it is not really free as you do not get any interest on the money you need to keep in your current account to avoid actual charges.
If you overdraw, you will be charged interest. It is likely that the interest will be at a higher level if you had no overdraft arrangement agreed in advance. Also, most banks will make transaction charges for a period of, say, three months if you are overdrawn, if only for a day. Charges can vary widely - from £27 to £97 or more for each period during which you have slipped into overdraft.
There is nothing wrong with a bank charging for its services, but it is important for you, the customer, to know about the charges and when they will be applied. They are usually based on the number of payments made into and out of your account. Free banking is usually available when you keep your account in credit. There are also high interest cheque accounts that are really a combination of a current and a deposit account.
Bank managers like to meet their customers, to explain what services- they can provide, and to discuss any needs or problems with them.