I guess the most widely accepted online payment method is Paypal, but i don`t consider it the safest. I always use a pre-paid card called paysafecard for all my online payments. No exposure of ANY personal information, quick, easy, safe.
It is not as widely spread as paypal but all the major platforms (shopping, games, music) accept it.
if you go on their homepage you will find a list with platforms, which accept the card aswell as a shopfinder, to see if there is a shop selling psc near your home. Easy ;)