Authorize.net CIM
The Authorize.Net Customer Information Manager (CIM) allows you to store customers' sensitive payment information on our secure servers, simplifying your compliance with PCI regulations whilst still enabling clients to enter their card details directly onto your website and processing recurring payments.
Usage
Begin by activating the Authorize.net CIM module in Setup > Payment Gateways and then enter your Auth.net Login ID & Transaction Key where requested.
Contrary to what you might think, you should not tick the setting to "Disable Credit Card Storage" in Setup > General Settings > Security as that will disable entry by a client.
It must be enabled to show the credit card payment form and allow clients to update their card details, but the fact you are using the Authorize.net CIM module will prevent the details being stored locally in WHMCS and instead store them only on the remote system.