how do i set my search engine to google without a big budget?

if it's edge you're on, open its settings and type "address bar" into the settings search, the search engine dropdown is right there. firefox has it under Settings > Search. edge likes nudging people back to bing after updates, so glance at it again if results suddenly look different.

it doesn't cost anything, it's just a setting. on iphone it's Settings > Safari > Search Engine. in chrome on android or desktop it's the three dots > Settings > Search engine. or were you asking about getting your site to show up in google? that's a different question.