Yes. We chose a payment processor that goes above and beyond the standard security guidelines.
We take security EXTREMELY seriously, and actually never see the credit card information. We use Braintree as our payment processor who is used by such sites as Airbnb, OpenTable, and many more. Braintree is a Level 1 PCI DSS compliant service provider which means they meet the most stringent guidelines. They are also on Visa's Global Compliant Provider List and MasterCard's SDP List.
You can learn more about their security here: https://www.braintreepayments.com/developers/security