How to accept online Credit/Debit Card payment via self-hosted shopping cart?

I plan to build a website that accepts online payments for digitial products i.e. books, videos, audios, etc. I want to be able to accept VISA and MASTERCARD and if possible, Paypal. My website will be a self-hosted one on GoDaddy using template based shopping carts built either via WordPress or simple HTML without any third party app, server or services.

Can I use my existing personal Payoneer account to accept such online payments via that shopping cart? If so, what are the charges and is there any tutorial or step-by-step guide to integrate Payoneer with my website's shopping cart? My customers won't be interested in creating Payoneer account since they'd just want to enter their credit or debit card details at the checkout and be done with it.

Thanks for your reading time.