I've replaced Pushbullet with Telegram as I already use it for daily communication.

Telegram's built-in "Saved Messages" is where I share links, files, text snippets, photos, etc. for follow up and archiving; seamlessly between my devices and the Telegram desktop app.

Telegram also has an export feature, so I can backup all (thousands) of saved URLs, messages, media files, and so on for offline safe keeping; both in human and machine-readable formats.