For searches where you want more that just the first result and want a depth of results to go through and maybe even check out more than the first page of results I like to use meta-search engines that grab results from multiple sources. Plus it helps route around censorship since you are getting results from a variety of sources. Searxng is the best known one.

I was quite fond of ixquick but it shut down ages ago. These days I like etools.ch especially since it includes results from search engines like marginalia etc that I tend to forget to search directly but like having meshed into my general searches. Plus you can change which engines it uses in settings and it shows which search engine(s) each link came from which is handy.

On a related note I like to check out Serdys list of search engines with their own indexes once if a while. It gets updated here and there and includes a fair amount of search engines I don't tend to see elsewhere.

https://seirdy.one/2021/03/10/search-engines-with-own-indexe...