How to Put a Digital Book (ePub File) on Your Device (iPhone, iPad, Android, Kindle)
If You're Using Apple Books on Mobile Devices
Download the EPUB from its website to your iPhone or iPad. This is typically into a “Downloads” folder in the Files App.
Tap the File and it will immediately open in Apple Books
If You're Using Kindle App on Mobile Devices
Download the EPUB from its website to your iPhone, iPad, or Android device. This is typically into a “Downloads” folder.
Press and hold on the file name to reveal the Share Menu
Tap the icon for the Share Menu
Select the Kindle App to send the EPUB. In some cases, you may need to click the “More …” button to see the Kindle App.
Here’s a more detailed tutorial from How to Geek.