It looks like Duck Duck Go is down at the moment. What is your second choice for privacy respecting search?

I recommend startpage.com over duckduckgo. It provides at least the same privacy as DDG while having generally better results because it uses google's results instead of bing's.

Edit: The ultimate search engine though, as mentioned by macattack, is SearxNG because it combines privacy with every other search engine and even allows you to mix and match your result sources.