Of course we can. In our Card Data Storage that stores customers' card information in a completely secure and PCI compliant way. Thanks to CDS your customers may conveniently pay for your products or services without the need to enter card information every time. It's quite enough if they enter such information only once. The data is going to be stored using CDS and every next purchase will use it (of course customers may save multiple cards).
What happens depends on what you feel most comfortable with. Storing data on your own means that you will have to go through audits and you have to be prepared to have all the necessary security measures taken cared of (PCI compliance and SSL). However, if that seems like too much you can count on PayLane! We offer this service for free and we take all the necessary precautions to make sure that your customers' data is safely stored.