Firefox is the correct option. If you use Chrome browser, alter your privacy settings, do not sync it to an account and get the add-ons of Privacy Badger, HTTPS Everywhere, a decent VPN, WebRTC Leak Preventer and Adblock (the VPN is optional as all good ones are premium, not free), you will have as good and private an experience online as what Brave Browser offers.
If you are particularly paranoid and value privacy over convenience, uBlockOrigin will do you just fine.
If you get Firefox, get the same add-ons but leave out the webRTC leak preventer. On Privacy Badger set it to never leak WebRTC and then go ahead and set your browsing security to 'strict' (I can help you work out where this is located if need be). You will find one of the best browsing experiences ever. Note that if you sync firefox, unlike with Chrome, even if you do it via your gmail, everything is encrypted on Mozilla's servers such that only the very highest law enforcement can demand to decrypt it and use it at any stage. Regularly delete your history (cookies and cache too) if you please.
Using Firefox in private browsing mode (their equivalent of Chrome's incognito) with those extensions all enabled in that mode, is actually superior to brave browser in privacy, because Chromium is flawed and enabled cookie tracking in ways it never ever can or will prevent like Firefox can. Firefox kills tracking at a native app/program level with 'strict browsing security' settings. This is not at all possible with Chromium products, meaning that what is prevented is at the level of the cookie then sending it to whoever owns it, meaning your browser itself did send that data to its own headquarters in an unencrypted and very reachable manner. This is why TOR browser has absolutely no Chromium equivalent and it never, ever will.
I have said my piece and I am not against what you're doing here. It's win-win if people use this browser and your site gets hosted cheaper on your end for it but do not disguise true private browsing as more or less achievable with/without Brave browser than it is.