Help with mutiple functions in PHP Class init

Hello, I would like to break apart the function used in Class to make it easier to understand, however I cant seem to work out how to pass variables across between two or more functions while maintaining the WP INIT hook. I have simplified my code for this question.

I am not sure if using multiple add_action in __construct is the correct way to go about it.

Thanks.

//called from template/index.php
do_action('foo');

//in template/fuctions.php
add_action( 'init', array ( 'foo', 'init' ) );

class foo
{

 public $stillnotworking;

    public static function init()
    {
        new self;
    }

    public function __construct()
    {
        add_action( 'foo', array ( $this, 'part1' ) );
        add_action( 'foo', array ( $this, 'part2' ) );
    }

    public function part1()
    {
      $this->x = '123';
      $stillnotworking = '123';
    }

    public function part2()
    {
      if($this->x){
        echo $this->x; //not working
        echo $stillnotworking;
      }
    }

    function __destruct() {

    }

}