Short answers: yes, most of them track you, and there is something you can do. Trinidad Way offers the following “sanitized’ (see help) search options in addition to those available under "More Sites ➣ Searches", some of which are better than others.

Enter your search terms into the above search text, then select your desired search engine to submit a sanitized request. Bing’s results may or may not differ from Google’s; DuckDuckGo at least advertises no collection of user data. In all cases, the actual request is displayed for your review. Warning: really–complicated stuff may not work.