Thank you guys for the sugestions!
After a short period of trying those out, I came to conclusion. It seems to me that ReadWise and Instapaper(not suggested here) are almost exact fit to my requirements but with some small fees (3$/m for instapaper, 5-8$/m for readwise).
With Dynalist I’m able to keep using Pocket as the ‘read later’ app and share interesting pieces of text to Dynalist inbox with a handwritten note very easily. This applies to web and mobile reading, which I really like.
Then, highlighted (maybe it is better to call them clipped) pieces of text are waiting to be copied over to obsidian from time to time. In future, I’ll try to figure out some way to automate this export. But manual copy is fine for now
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Thank you guys very much!