If you have your own server somewhere or access to such managed by someone you trust may I suggest using a meta-search engine like Searx [1] instead? That way you get to swat a whole cloud of flies in one fell swoop:
1: no personal tracking or profiling data for the search providers
2: no 'personalised' search
3: search results from several providers condensed into one list, i.e. more results for the same query
You can also use one of the public Searx instances [2] if you trust them enough not to do their own profiling. By default Searx does not use cookies but there are other ways of tracking individual browsers so that is not a guarantee for tracking-free browsing.