STRIPE accepts all major credit cards.
Think of Stripe as a leaner, far more secure PayPal. With Stripe, this website stores none of your credit card data.
Everything is processed by Stripe, using their secure servers; This simplifies the entire process and inherently makes it more secure. Stripe is as safe as, if not safer than, PayPal. Its fee is the exact same (2.9% +0.30c).