"payment cards" includes debit cards, credit cards, and other types of cards that can be used for payments, such as the German girocard standard. There's no meaningful difference between these products if your locale has working consumer protection laws.
The payment processors I'd be looking at offer merchants rates of 0.125% for girocard, 1.39% for VISA/MasterCard, and 6.2% for AMEX.
The payment processors I'd be looking at offer merchants rates of 0.125% for girocard, 1.39% for VISA/MasterCard, and 6.2% for AMEX.