Have you tried searx? There’s a lot of open source instances. If you want to use Google with some privacy there’s also whoogle. Tbh I haven’t tried any, just read about them. Hope this helps!
I would recommend searxng its a little bit better and yeah.You can easily self host that too :) Its a meta (not the company) search engine. It requests multiple search engine. Its a really good way to aggregate multiple results from different search engine.
Isn't that ultimately like a VPN though? i.e. a different server is making the requests to those search engines and forwarding results to you? Why not just use a VPN and access your favorite directly if you don't care about aggregated results?