Where does one store favorite links so I can handle them on phone and two separate machines?
Linkding: https://github.com/sissbruecker/linkding
Other options might be to have that personal homepage on a non-public machine (e.g., on your home or office LAN), behind a VPN, and/or password protected.
Another practice from days of yore was to export specific bookmarks and transfer those to other systems. This is indeed cumbersome with mobile browsers (I'm not sure these even offer bookmark import/export ... Looks as if that's synch-only for Firefox/Android, which is disappointing.