I have been using Firefox with Ublock Origin as my main browser for a long while. Usually when I get a privacy prompt, I reject cookies, or maybe some sites that are more difficult take me a to a panel that wants me to switch off loads of individual trackers.
How does Ublock handle the cookies? Obviously some are required for site functionality, such as being logged in here, but if I accept cookies (or can't reject them) then presumably they are still accepted? Or does it accept the essential ones and delete third-party trackers?
If cookie prompts annoy you (and why wouldn't they? Complicated and time wasting prompts caused by terrible and compromised legislation that's led to far more intrusion instead of enforcing use of browser settings) and you don't care about cookies, then the browser extension "I don't care about cookies" suppresses the vast majority.
Alternatively, check out Consent-O-Matic, which applies the most privacy-preserving features by default, and lets you choose more specific preferences. It’s also open-source.
When it's needed for the website to work properly, it will automatically accept the cookie policy for you (sometimes it will accept all and sometimes only necessary cookie categories, depending on what's easier to do)