Brave is a decent browser, which uses the basic Chromium browser that powers Chrome, Opera, Vivaldi and several other big-name browsers. It's particularly useful on poorly-resourced computers which struggle to cope with the vast number of ads on some websites. However simply adding a certain extension (which the Ed would probably rather I didn't name here!) to any of the main browsers can put you in a roughly similar position.
I doubt that Brave (or any other browser) could guarantee to protect you from the type of ransomware that hit the NHS's XP-based computers after support for that operating system ended though.
If you find that your browser (whatever that might be) is storing history when you don't want it to, you need to go into its settings to prevent it from doing so. (Storing history is no threat to your 'security' anyway unless someone else, who you'd rather not know which sites you've been looking at, has physical access to your computer).
A worthwhile alternative to Brave though (which I like) is Epic:
https://www.epicbrowser.com/