My recommendation would be Firefox if you want something that just werkz out of the box. IceCat if you don't like Mozilla telemetry, but it generally doesn't get new features very often. Pale Moon if you want to customize the fuck out of everything, but most extensions are old and you will likely have to find/create your own alternatives. I try to avoid Chrome, but Iridium Browser or UnGoogled Chromium are passable.
You don't have to use all of these extensions, but here are some I use on Firefox:
Gets rid of 99% of porky ads on the net. Highly dependent on filter lists, but the defaults work well.
Not really needed if you don't care about tracking, but it basically removes all the referral codes and other junk from hyperlinks.
>Multi Account Containers
If you use containers in Firefox, this adds a toolbar button for easily managing containers and lets you always open sites in a specific container you choose. I like to have a "SFW" and "NSFW" container for sites I login with and temporary containers for the rest, this will vary on the amount of identities you want to use/keep separate.
>Cookie Auto Delete
Lets you whitelist sites to keep cookies and delete the rest (for persistent logins). Configure the settings to enable auto-clean and containers support, if you use that. Localstorage removal for containers is already covered by Temp. Containers (below), so you don't need to enable that here, unless you don't use containers. IF YOU USE THIS DON'T CLEAR COOKIES ON BROWSER EXIT, let the extension do it for you.
>uMatrix (for advanced users)
>Temporary Containers (for advanced users)
Kind of like incognito mode but per-tab. Just like regular containers, the cookies saved in these don't touch other containers. In addition to that, the temp containers (and all the site storage) automatically delete after you are done with them. You can choose when/how to purge the temp containers, per-domain isolation, and if every new tab should automatically become a temporary one by default.
Also check out ghacks user.js if you want some Firefox config hardening, like the anti-fingerprinting settings TOR browser uses. Keep in mind the more privacy extensions and prefs you add, the more sites will break and you will get a LOT of Google captchas and Cloudflare challenges. Finally, nothing you do on the internet is private, so don't do retarded glowy shit thinking you are some leet hacker god.