I use a metasearch engine (searx) for precisely this reason. It aggregates results from any number of search engines, sending request to them in a very generic,

I use a metasearch engine (searx) for precisely this reason. It aggregates results from any number of search engines, sending request to them in a very generic, non-identifying form, then displays them all on one page with a tag next to it to indicate where the source of the result came from. You can host Searx yourself or use a public instance, but using the public instance means you trust the operator to not log/filter results/inject ads(I don't know if folks do, but it would be possible) or do other nefarious things. It's pretty easy to host it yourself..