For tagged bookmarking I use jotmuch: https://github.com/davidlazar/jotmuch
For more context, I almost always use my phone with this emergency pocket keyboard: http://www.amazon.com/ZAGG-FOLZKFLEXSLV-Zagg-ZAGGkeys-FLEX/d... .. so I somewhat normal, high input rate.
Although, I do search on my phone while at my desktop in exactly one scenario: playing games. It's less hassle to do a quick search for where to find item X in some random game than to pause, alt-tab out, fire up a browser, search, try to remember results, close browser, and alt-tab back to the game. Otherwise, yeah, full browser when I'm in front of one, phone for the rest of my life not spent in front of a computer.
Completely unintuitive, I love Apple's design team, but it makes me aware that Apple designers are mortal after all :-)
Under the "Find on this page" heading.