DDG proxies Bing results with extra privacy. Startpage proxies Google results with extra privacy (it’s a bit slow in my opinion though).

Ecosia proxies both with a bit oft extra privacy, as long as you don’t click or block the advertised results.

SearX proxies whatever you want, but its kinda slow last time I tried it.

Brave Search builds their own index, which is pretty good (on par with Bing) even though they’re only about a year old at this point. The company is a bit sketchy though.

free libre open source software.

Basically software by the people for the people controlled and kept in check by the people.