How create checkbox form for filter product woocommerce

friends. I need a form where there will be categories and subcategories in the checkbox. The search result can be varied according to the pattern:

My question is : what is the best way to pass the information by POST and play in a loop to display the products according to their category and subcategory.

This will give me all products. I need something like this to reber information via POST and display only specific products.

  <?php
$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;

$args = array(
    'post_type' => 'product',
    'paged' => $paged,
);
$wp_query = new WP_Query($args);

if (!isset($_GET['all']))
{
    ?>

    <?php do_action('woocommerce_archive_description'); ?>

    <?php if (have_posts()) : ?>

        <?php
        // I don't want the sorting anymore
        //do_action('woocommerce_before_shop_loop');
        ?>

        <ul class="products">
            <?php while (have_posts()) : the_post(); ?>
            <li>
                <?php woocommerce_get_template_part('content', 'product'); ?>
            </li>   
            <?php endwhile; // end of the loop.   ?>
        </ul>

        <?php
        /*  woocommerce pagination  */
        do_action('woocommerce_after_shop_loop');
        ?>

    <?php elseif (!woocommerce_product_subcategories(array('before' => woocommerce_product_loop_start(false), 'after' => woocommerce_product_loop_end(false)))) : ?>

        <?php woocommerce_get_template('loop/no-products-found.php'); ?>

    <?php endif; ?>
    <?php
}
else
{
    // Code to display the product categories with thumbnails.
}

  ?>