Splitting a large PHP class

I have a large class (1500 lines, but will soon be several times that) that I'd like to split so that it fits better with SRP (and so that each file is smaller and more manageable.)

The class contains 50-100 properties, and has several different types of actions that are performed against it - one of which would be an update which in turn does several steps such as update the database, and send emails.

So I think I want 4 classes.

How should I structure the classes?

Here's a simplified version of what I have now:

class Foo {
    public function __construct ($params) {}

    public function update () {
        $this->updateDatabase();
        $this->sendEmails();
    }

    private function updateDatabase () {}
    private function sendEmails () {}
}

$foo = new Foo($params);
$foo->update();

updateDatabase() and sendEmails () each call many other methods - hundreds of lines of code each, and they have several sibling methods doing other tasks.

A basic rewrite to use static methods

class Foo {
    public function __construct ($params) {}
}

class FooUpdate {
    public static function update ($fooParam) {
        FooUpdateDatabase::main($fooParam);
        FooSendEmails::main($fooParam);
    }
}

class FooUpdateDatabase {
    public static function main ($fooParam) {}
}

class FooSendEmails {
    public static function main ($fooParam) {}
}

$foo = new Foo($params);
FooUpdate::update($foo);

A basic rewrite to use instantiated objects

class Foo {
    public function __construct () {}
}

class FooUpdate {
    private $foo;
    public function __construct ($fooParam) {
        $this->foo = $fooParam;
    }
    public function main () {
        $fooTemp = FooUpdateDatabase($this->fooParam);
        $fooTemp->main();
        $fooTemp = FooSendEmails($this->fooParam);
        $fooTemp->main();
    }
}

class FooUpdateDatabase {
    private $foo;
    public function __construct ($fooParam) {
        $this->foo = $fooParam;
    }
    public function main () {}
}

class FooSendEmails {
    private $foo;
    public function __construct ($fooParam) {
        $this->foo = $fooParam;
    }
    public function main () {}
}

$foo = new Foo($bar, ...);
$fooTemp = new FooUpdate($foo);
$fooTemp->update();

Or should I use inheritance or traits somehow?