I've been doing this for years, and my shell history is usually only a few lines/commands long when I start a new session. I like it that way. My browser's roughly the same - I always start firefox in "private browsing mode" (my system's default browser application is a shell wrapper around firefox that takes care of that), and I very consciouly use a non-private instance to "soft-bookmark" stuff that gets committed to my browser history. Actual bookmarks are for all the stuff that I consider really important not to forget about. A few sites (such as HN) have the privilege of me visiting them in non-private browsing mode while authenticated via cookes.
People might find that weird, and it sure is a tad inconvenient when random, low-priority websites cosplay Internet Fort Knox with very short and annoying MFA login timeouts and methods, but for me, the benefits (I'm less susceptible to tracking and can click on stuff with less angst that I might somehow leak data from my nigh-eternal browser session to some site or another, and I get to start relatively fresh in each session) outweigh the costs.
People might find that weird, and it sure is a tad inconvenient when random, low-priority websites cosplay Internet Fort Knox with very short and annoying MFA login timeouts and methods, but for me, the benefits (I'm less susceptible to tracking and can click on stuff with less angst that I might somehow leak data from my nigh-eternal browser session to some site or another, and I get to start relatively fresh in each session) outweigh the costs.