I use mainly Startpage and Mojeek, sometimes Ecosia and Qwant. Not so for privacy, but by far the best for image search is Yandex (yes, I know). But anyway there is always needed to use several search engines + specific page searches for an deeper research. Respect privacy there are only few conditions, the search engine don't log your searches (avoiding filter bubble), don't use AI of big corps, no SEO crap and don't use tracking cookies, given in most engines except Google, Bing and Yahoo. Privacy isn't a main problem in other engines as these and finish when you visit the searched page, where the protection from any search engine finish if you do it without proxy or VPN.