searxng (self hosted). But I understand not everyone can host something. There are public instances out there as well.
But if you’re self hosting it doesn’t it mean your IP address is being exposed to all other search engines used by Searxng including to Google?
Yes, but my search data doesn’t leave my house. Also since my IP changed multiple times a week (not quite daily, but close), I prefer this to using someone else’s instance. There is some obfuscation to be gained by searching through a public insurance as well, but my insurance is still used by multiple people, not just me.
What do you mean with search data not leaving your house? I mean if you hit Google a request for a search, then Google automatically knows what your IP address is searching for, isn’t?

Not necessarily.

You configure which engines you want it to use.

Although lately the list of engines which are working well seems to be quite small.