Create a plugin with Calendar picker

I am currently creating a plugin and need one of the fields to be a drop down calendar picker. Will I have to build this as well or is there a hook I can use to use something already produced by WordPress?

jQuery Datepicker is included in WP Core, you can add it to your functions.php (for themes) or index.php (for plugins)

function styles_scripts() {
    wp_enqueue_script('jquery-ui-datepicker');
    // Enqueue some theme-roller or default style...
    wp_enqueue_style('jquery-style','http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.2/themes/smoothness/jquery-ui.css'); 
}
add_action( 'wp_enqueue_scripts', 'styles_scripts', 11 );

Than in the HTML part where you need the datepicker

<input type="text" id="MyDate" name="MyDate" value=""/>

And finally in your Javascript

jQuery(document).ready(function() {
    jQuery('#MyDate').datepicker({
        dateFormat : 'dd-mm-yy'
    });
});

This code is not tested, I just typed it here and hope it work well, let me know if you need more information or correction.