SmugMug

 SmugMug  is a privately held paid subscription photo hosting silo founded in 2002 that acquired Flickr from Oath in 2018.

Features
Features include:
 * private photo storage
 * folders
 * galleries
 * metadata (what kind? EXIF?)
 * options to share to social networks
 * options to seamlessly send photos to be printed

API
SmugMug offers an API as well as oEmbed support for integrating into sites.

Data Portability
SmugMug offers export of galleries as zip files, but not entire accounts, although this can be achieved using the API.