It's a shame to hear Pocket is shutting down.
Adding another option to the mix, I'd like to share my open-source project, "ato de yomu" (which means "read it later" in Japanese).
https://atodeyomu.morishin.me/
You can save web pages to read later, track your reading history, and share your lists—or keep them private. It supports adding pages via the website, iOS Share Sheet, Chrome Extension, API call and etc.
It's open-source: https://github.com/morishin/atodeyomu.morishin.me
I previously shared it on HN here: https://news.ycombinator.com/item?id=41649998
Hope some of you find it a useful alternative!