The types of payment you can accept will depend on the payment gateways you enable for your shop.
Depending on the types of products you sell, you may be eligible to utilize Shopify Payments, our in house credit card gateway. With Shopify Payments, you can accept major credit cards from customers worldwide. You can learn more about Shopify Payments here.
In addition to accepting credit cards, you can also enable PayPal, and other alternative and manual payment methods!
Let me know if this helps!
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