Searching for things is something we do very frequently, so this page is a bit of an introduction.
I have been using Private Search Engine - Brave Search quite a bit for a while now. This is mostly because of it respecting privacy but also because I like it. To get the most out of it then learn some shortcuts, see Available Bangs - Brave Search.
There is a API, so Brave Search API | Brave is worth checking out, oh and they have a "playground" where you can try things out, see Brave Search - API.
As well as an AI option on the regular search page you can jump straight to an AI chat at Ask Brave.