You can accept all the major credit card brands. You will need to set up their Amex, Diners, JCB, with the payment gateway provider (eWay) to have it work with your merchant account.

On the website you will be able to select additional cards to appear in the eCommerce payment options (Visa and MasterCard are enabled by default, credit card surcharges as well as advanced features such as whether or not CCV is wanted as part of the payment form).