A browser named Safari was recommended to me, but by a sighted person...what do you guys know about it, how accessible is it?
(haven't heard of it by now)

Yes, I tried Opera too, but way back in my sighted period, I found it better than Explorer, but not as good as Firefox...however, knowing my issues with Firefox, I may try it now again, but with a screen reader this time of course.

Many thanks for your suggestion!

I use Firefox and wouldn't switch to anything else. It is accessible, fast enough for me, and among the better browsers for those who care about privacy, especially with all the good add-ons and about:config tweaks. I'm sorry that it didn't work well for you, but perhaps you could give it another try? True, it was quite a bit slower for some time after the Quantum update or whatever it was called, but it's back to normal now, at least for me.
For websites that don't work well with Firefox, which are extremely rare, I usually just use Internet Explorer. That's only a few times a year anyway. I tried out Chrome, but wasn't fond of it. I actually found it much less accessible than Firefox. To each their own, I suppose.

As 1st, thanks for all your suggestions/recommendations guys!
Edge is also a browser I am planning to try out btw.

As for your inquiry Dark...sigh...it will be a looong list, hope you will have the patience to read it to the end.

So my current issues with Google Chrome are:

1. It became filled with advertisements. (this wasn't the case before)
After I close it, 2-3 advertisements, of quite an aggressive type become active and pending, despite all the malware aand spyware interventions we tried with my sighted friend.

2. It won't start normally, after each system reboot, I have to start it twice in order to be able to use the "alt" button for accessing options, since after the 1st launch it doesn't function properly, gives some sounds instead of options appearing.
It sometimes forgets even my google account name and password, and starts "browsing as a guest", without my bookmark and settings, till I log in into google.

3. It simply "swollows" the lower part of longer textual files I write, starting from a certain character or line limit I guess.
Nothing I wrote under that limit appears when I wish to view, or edit the textual file, everything goes blank, as if nothing wmore is written, and there seems to be no way to adjust or fix this.
Normally other browsers have no such problem, the whole text is readable/editable in Firefox for example.

4. When using Facebook and its messenger, (and I use it the most of the time lately, due my newest nr 1 favorite game Text Spaced, which runs on FB-messenger), very often the lower part of the text and options gets swollowed, they, so the last few lines simply disappear, or won't appear at all, but at least this can be solved by a refresh with F5 key, it can still get annoying due occuring very frequently though.

5. Emoges don't work properly neither on messenger, nor on Discord chat of Text Spaced, actually they almost totally fail.
The only case I can read them is when posted by others in certain Discord chats, but not in all...so only in some of them. Whenever I try to send an emoge, and start browsing among them to select one, only "image" is read for all, and most recently not even that is read anymore. (this also wasn't malfunctioning before, I could use emoges perfectly in Discord chats)

6. Many of the messages, almost every single of them in Facebook, in messenger and on Discord are read multiple time in a row, starting from FB related ones, then those related to the Text Spaced game in messenger, and then the replies in its Discord chat channels.
Oh, of course I am using the mobile version of FB, it still has less accessibility issues than the normal one.

7. After using the browser for a longer time period, certain screen reader functions start failing, or the whole NVDA sbecomes so laggy, that it cannot be used properly anymore.
There are even cases when it totally freezes, for example sometimes after trying to jump over very long text, by using the "page down" key repeatedly.

And these are only the problems/issues I can remember at this very moment, if I would take some more time thinking, I could certainly come up with further ones.

Again, the most of these problems didn't occure, weren't present before, in the time I started using Chrome as my primary browser, so all is becoming worse and worse, Google starts functioning more and more inaccessible to me, as if it's...dying, or suffering by a severe desease...or infection.
(tried running several anti-spy-malware programs, no results, no interventions, no clue, no cure found.

As for Firefox, what annoys me like hell is its modification of combined lists: Ever since it was applied, I have to press space in each single combined list, in order to even start hearing its elements, (can hear nothing at all until I press it), and then, especially in case of multiple combined lists, which occure quite often in games, (when selecting options/settings for example), I have to press tab even twice to move on to the next list, setting,  or option, then press space again to activate that one...etc.

Plus, in cases I press exit to quit the selection of the list elements, instead of the actual, already selected one, the 1st one in the row appears as chosen...it can make one confused like hell!

I really have no idea, why Firefox developers had to spoil, to ruin this combine list feature this much for screen reader users, when it was working perfectly before that dumb, senseless, pointless modification of theirs...

This issue is making me pissed off like hell eacn time I encounter it, so it was the main reason why I have given up using that browser, the reduced speed, which seems to be fixed recently, was only my secondary reason.

Here's my opinion on browsers. Nothing wrong with having multiple browsers. I use chrome or brave browser
at the developer for stability. Also brave has this useful reader mode, I've know is inside chrome but I've never been able to use the feature
https://brave.com/download-dev/
, and then i use Firefox nightly,
https://www.mozilla.org/en-CA/firefox/channel/desktop/
because since they stabilized the new interface with v60, ever since then the nightly browser has been rock solid for me. Then for good measure, if you need old NPAPI firefox plugins I recommend Basilisk web browser.
https://www.basilisk-browser.org/

Well, my sighted pal ran a few anti-spyware programs and cleaners, but couldn't find anything...yes, C-cleaner I have also used in the past, maybe it will help, thanks for the hint!

As for adds, I did check, and deactivated-re-activated their blocking, did the same even for notifications, nothing helped.
(my friend also suggested this to me)

But yes, my pal tried his 1st attempt remotely, with the help of the Team Viewer program, it looks he will have to visit me in person, hopefully he will be more successful with fixing Chrome then.