Look at https://kagi.com/faq .
They basically query other search engines and APIs in a privatized manner and they use their own indexes as well. I used Google, Ecosia, StartPage, DDG, a self-hosted SearXNG instance and then Brave. I liked DDG and I kinda liked Brave Search, as well. But in comparison to Kagi, they’re all not that good in my opinion.
The image search of Kagi is especially what blows me away. It just shows relevant results for my queries and I’m satisfied.
I also know how to use keywords, etc. And maybe I went a bit overboard when I said Brave Search sucks. It doesn’t suck, but with Kagi, I don’t feel like a product any more and the search results make sense again, like with Google a couple years ago. Most free search engines just don’t work that good any more.
If you would’ve told me 2 years ago that I’ll be paying for a search engine in the future… Well, I would’ve thought that you’re crazy. But here I am now.