Checking accounts:

A deposit account held at a bank or other financial institution, for the purpose of securely and quickly providing frequent access to funds on demand, through a variety of different channels. Because money is available on demand these accounts are also referred to as demand accounts or demand deposit accounts.
Savings accounts: Accounts maintained by retail banks that pay interest but can not be used directly as money (for example, by writing a cheque). Although not as convenient to use as checking accounts, these accounts let customers keep liquid assets while still earning a monetary return.
Money market account: A deposit account with a relatively high rate of interest, and short notice (or no notice) required for withdrawals. In the United States, it is a style of instant access deposit subject to federal savings account regulations, such as a monthly transaction limit.
Time deposit: A money deposit at a banking institution that cannot be withdrawn for a preset fixed 'term' or period of time. When the term is over it can be withdrawn or it can be rolled over for another term. Generally speaking, the longer the term the better the yield on the money.