There are many alternative search engines, here is a short list with some comments from my experience:
- Swisscows: A young and innovative search engine, keep an eye on it.
- Qwant: My favorite. I use it regularly and I trust my kids to use it.
- Yandex: Another search engine that does not respect your privacy.
- Gigablast: An old search engine that survived big tech censorship.
- Yippi: A not so censored search engine.
If you know about another search engine that does not depend on google or bing, please add it in a comment.