For a while I was self hosting
whoogle but it’s been kind of problematic and gets rate limited very quickly. I have been looking at switching to
searxng. For both of these you can find some hosted for the public but their security may not be as robust as a company like duck duck go would be. It’s a shame too that duckduckgo does actually
collect data and send it to Microsoft as part of their agreement in order to use bing as their backend.