What are you even talking about not having a choice? I agree Google is awful, but even on pixel phones you can change most aspects of it - definitely including your browser/search app and engine. Just switch to Firefox and/or use duckduckgo, or any of the other browsers and search engines that are readily available. I haven’t used chrome in years, but if you’re a chromebro I’m pretty sure it supports changing the search engine too.
If your launcher doesn’t support changing your search engine/app in a built-in search bar, throw a different browser widget up on your home screen or get a new launcher with a better app/web search widget, unless you got your phone from work or something with restrictions in place you can easily swap out your launcher for a 3rd party one. I personally use Niagara launcher and like it a lot, if you want a more traditional launcher there’s KISS (It’s also foss), and launchair