I've found Brave Search to be quite good. You can disable the AI summaries if you prefer. However, I generally find them very helpful. It's, of course, private similar to DDG. They use their own crawler as well as getting results from Google and other sources.
Hey, thanks for the kind words. I just wanted to clarify that Brave Search is 100% independent and doesn’t source results from any third -party (see here for more details: https://brave.com/blog/search-independence/)
https://brave.com/search/