There are various privacy focused search engine like duckduckgo, startpage, brave, etc. available. Even tho everything have approximately same results maybe because of bing & google API.
But i wish atleast that privacy focused search engines replace their social media post related search link results with privacy focused platform links. Like,
Reddit to lemmy X to mastodon Instagram to pixelfed Youtube to youtube or piped (no good options)
Then it would also a good support for those platforms too… But will it happen ?
I know it’s not exactly what you are asking, but on kagi.com you can increase & decrease weighting of any domain in search results. You can also create custom url redirects, which could work for cases where the url contains the same information but on another domain (i.e. redirect youtube result to same video ID on piped).
But I’m not sure if kagi fits your needs, while it is privacy focused it is a commercial product and it asks a monthly subscription fee
There’s also a built-in filter for fediverse search, basically replacing the “reddit” usually added to the end of results.
I have Kagi set to redirect Reddit to Redlib and it works great.