Data on search engine market share is available, but I wonder what that looks like for Lemmy users in particular, who I would assume lean more technical than the average user, so probably use DuckDuckGo and alternates more than Google.
I use a mix of DuckDuckGo and Kagi. I'll also use ChatGPT, which can be good if you're careful to verify the answers it gives you as a check against hallucinations. It's useful for short, direct answers without ads or SEO bullshit.
SearXNG, searches every search engine and regroups them in a single list, alongside the very powerful "bang" variant they use ("!!" is like "!" for ddg, and "!" is to only search with this search engine, ":en" is to choose a specific shortcode language.)
I use Ecosia. It works quite well, and if I ever need to search something on Google instead (like a coin flip/stock ticker) you can just do #g or #yt for Youtube
They also plant trees and are carbon negative
I had some issues with searx.... Things are a bit better in my experience with searxng. Sometimes I still run into the error messages. But usually it's my fault more than anything (server bogged down, too many requests/searches across all my users, or internet blips)... I just rerun the search a few seconds later and it's usually good again.