You can control what payment logos show up on the checkout page from your Shopify Admin page.
You can access this via Shopify Admin> Settings > Payments > Click on the relevant app you wish to control. For example if we wish to change the logos shown for our Airwallex Credit Card App, click"Manage" on the first app.
On this page, you can select the logos that you have enabled for your account. For example, if you did not enable Discover and Diners for your payment account, disable Discover and Diners in the settings page.
An example of how the logos will show up on the checkout page is shown below