was looking for the same thing and gave up. what should work is self-hosted firefox sync, but the setup is such a gargantuan undertaking that I gave up not even halfway reading through the instructions.
what I do as a stopgap is rsync the profile folder from the PC to the laptop, if I need to use it as my main workstation for a while. all your shit (settings, extensions, cookies, localstorage, etc) gets transfered over, it's as if you're sitting at the thing. this obviously blows if you want to use both workstations simultaneosly but you can make it work somewhat.
in addition to that, I'm using self-hosted readdeck which sucks major ass but I haven't gotten around to finding a better replacement.
this should be a major thing and something to include in 1.0 but alas, here we are at version 23452 and nobody's got time for all of that, what with cramming AIs in every nook and cranny taking precedence.