Open the Google Wallet app. Tap on the Add to Wallet option, in the bottom-right corner. Hit New credit or debit card. Either scan your card using the camera, or select Or enter details manually.
Google Wallet is best known as a way to store and use your credit cards on your phone and Android smartwatch. However, it can do much more. You can use it to store rewards cards, boarding passes, ...
For what it's worth, pulling up your payment and ID cards works the same way on Apple's iPhones. Pixel users might soon be able to utilize the same Google Wallet shortcut, as highlighted by the ...