What type of checking accounts do they have?
Some banks have 4-5 types of checking accounts and the service they offer with them differs. For e.g. with some checking accouns you can make deposits only via an ATM using your card, and only a limited number of deposits are allowed via the tellers (people who work in the bank). They might have different monthly maintenence fees. In some cases you can write only a limited number of checks free of charge, and the bank charges you a fee for the rest of your checks. Ask the banker to tell you more about the options. Don’t be shy. Tell them you don’t know anything about their various accounts, and ask their help to explain you the best they can.