woocommerce + display shipping based on city code example

Example 1: get current shipping method woocommerce

$rate_table = array();

$shipping_methods = WC()->shipping->get_shipping_methods();

foreach($shipping_methods as $shipping_method){
    $shipping_method->init();

    foreach($shipping_method->rates as $key=>$val)
        $rate_table[$key] = $val->label;
}

echo $rate_table[WC()->session->get( 'chosen_shipping_methods' )[0]];

Example 2: woocommerce get shipping classes

$shipping_classes = get_terms( array('taxonomy' => 'product_shipping_class', 'hide_empty' => false ) );