You can configure the Magento payment methods through the Magento Admin Area -> System -> Configuration -> Sales -> Payment Methods:
In this tutorial we will illustrate how to enable the credit card payment method.
The credit card payment method can be configured through the Saved CC section:
Enable the method, enter its title, set the new order status, pick the supported credit cards, decide whether the credit card verification is required, define from which countries to accept payments and the range of the accepted payments.
In the Sort order field you should enter the position of this payment method compared to the other payment methods offered to the customers.