I generally do not connect to web sites from my own machine, aside from a few sites I have some special relationship with. I usually fetch web pages from other sites by sending mail to a program (see git.savannah.gnu.org/git/womb/hacks.git) that fetches them, much like wget, and then mails them back to me. Then I look at them using a web browser, unless it is easy to see the text in the HTML page directly. I usually try lynx first, then a graphical browser if the page needs it.
Fuck. What the hell.
I occasionally also browse unrelated sites using IceCat via Tor. Except for rare cases, I do not identify myself to them. I think that plus Tor plus LibreJS is enough to prevent my browsing from being associated with me. IceCat blocks tracking tags and most fingerprinting methods.
Ironically I think this makes his the most unique fingerprint in the whole internet.