How to create my own style.css file in an wordpress child-theme

Take a look at the official docs:
https://codex.wordpress.org/Child_Themes
https://developer.wordpress.org/themes/advanced-topics/child-themes/

Make sure you are within your child theme functions.php and use this code to make sure the function is firing. It will kill the page if it is working correctly.

  function wpdocs_theme_name_scripts() {
          wp_die('Yep! This is working');
    }
    add_action( 'wp_enqueue_scripts', 'wpdocs_theme_name_scripts' );