All the payments on your store can be managed from Settings – Payments
Customers can pay for orders placed using any of the methods enabled by you in the Payments section of your store. Shopify supports a large number of payment methods for store owners.
For Credit Card payments, you can activate Shopify Payments or a third-party payment provider. You can find out more about Shopify Payments here
For more information about third party payment gateways, you can refer to this link
Your customers can also pay without a Credit Card using payment methods such as PayPal, Amazon Pay, Apple Pay etc. Alternative payment methods such as Cash on Delivery, Bitcoin etc too can be set up on your store.
Shopify has also recently launched Shopify Pay, a frictionless payment method to purchase products on a Shopify store. Shopify Pay reduces the number of fields a customer has to enter from around 16 to just two. All that you need to do is set up Shopify Pay if you are already using Shopify Payments. You can read more about Shopify Pay here