Please note that it's not possible to change the credit card associated with an ongoing, currently-active Crew Subscription. To change credit cards or stop the recurring charges on your current one, you need to cancel any Crew Subscriptions that are currently active. See also: Help Article: "How do I unsubscribe from a Crew?".
After the Crew Subscription is canceled, any information related to your card won't be used anymore. After it expires, you can then proceed to re-subscribing using a different credit card, and the subscription will have then changed credit cards.