How do you manage the immensity of online items you wish to remember?

I recently remembered a site link I had "saved" somewhere to view again later, but when I went to look for it later...

I realized it could have been a browser bookmark on mobile, or a different browser bookmark on desktop, or maybe just a tweet I "liked" for easy finding later? Or maybe it was a question I starred on StackOverflow to find later, or possibly I upvoted it on HN to "quickly" find later, but was it an HN submission or a comment? Or maybe I emailed it to myself, as I often do, and it was in my inbox? So many places..

I'm looking for recommendations for an easy way to save any link from any device and quickly view it later (i.e. not a text file in Dropbox). I don't want to be tied to a specific third-party service, like a browser sync, especially since different browsers perform differently on different devices and I don't want to be tied to one browser.

Any suggestions? I'll be sure to bookmark this thread...