I want to stop subscriptions

Under your Apple ID in the Settings, you'll have the option to look at your Subscriptions. Subscriptions that you specifically set up on your Apple ID can be disabled through this. Keep in mind that subscriptions set up outside of that sphere will need to be manually found and shut off through those services or through your bank.

make sure to cancel the subscription using the steps found here: See or cancel your subscriptions

Taking card off your phone will be difficult if not impossible.