As often as possible, I use fake DOB. And I use my Rick Deckard alter ego if a website has no real reason to ask my name. So my spamcatcher email is full of "Hi Rick," emails.
But it's all a drop in the bucket. The credit card companies and credit reporting agencies know pretty much everything there is to know about me. What they don't know, Google knows.
The flip side is all of this does add real convenience. There was a time I traveled with a stack of cash and, maybe, traveler's checks. In 1985, I hitchiked down the west coast of the US after a summer in Alaska with no credit card and $3500 (about $10K inflation adjusted) in saved wages in my pocket in hundreds and twenties.
I didn't leave much of a trail. The flip side is I could have lost a whole summer's wages and I was pretty nervous a few times but, strangely, not with the guy who's first words to me were: "You f### with me and I'll kill you." ;-)
For me, it's not the privacy, but the manipulation. And that's where siphoning my browser history is a concern - it's not that they *know* because there's nothing there I am not willing to share, it's that it can be combined with other data and deployed to manipulate my behavior without me understanding that.
So that's why, even though it's a losing game, I run tracking blockers just to make it that much harder for them and to at least reduce ROAS across the system if possible (easier for me to say now that I don't buy ads). But admit the truth - if you're buying ads, you always wish you knew just a little bit more about the people seeing your ads.