That's only for the Professional Membership trial. Select the Freelancer Membership. Since the Freelancer Membership is free, they do not ask for any payment information.
That gives you free "5 minute rentals", which are designed to let you decide if you want to actually rent a given article. If you decide to rent some articles, and so need to pay for that, you'll then have to give payment information, of course.
The rentals are for 30 days, and are sold in packs of 5 rentals for $20. Yes, free would be better, but compared to the alternative of paying $20-40 per article to buy single article access from major journals, DeepDyve looks like a great bargain for the researcher who does not have access to a university library.