I've been trying to find a good privacy respecting browser, but I can't really decide on what to use. I don't like the search results with Brave Search. DuckDuckGo shares my information with Microsoft and SearchXNG shows me NSFW images even with strict search on. I really like Presearch, but I'm not really sure what they're about.
EDIT: After tinkering with the settings of my SearXNG instance, it seems to have reduced the amount of NSFW images. I think I will stick with SearXNG for now.
You can host if on a vps, use it behind a vpn, or make a whole group of people using it so you don't know from who these requests were
The vpn, sure, but if you host it on a vps (and don't make it public) then all of the requests are coming from the vps's ip. This is private, but not anonymous.
I have started using a public instance because of this.
The problem is that you can't customize default settings
and they get rate limited often.
Even with a VPN I don't know if request are really that anonymous (anonimity is almost impossible to get)