How to reorder billing fields in WooCommerce Checkout template?

Question

I'm creating a madlib style checkout form using WooTheme's Customizing checkout fields using actions and filters.

Billing fields in the checkout template form-billing.phpare displayed with this call:

<?php foreach ($checkout->checkout_fields['billing'] as $key => $field) : ?>
<?php woocommerce_form_field( $key, $field, $checkout->get_value( $key ) ); ?>
<?php endforeach; ?>

How can change the order the fields appear?

The current (default) field order is:
first name
last name
company (hidden for me)
town/city
zipcode
country
state
email
phone

Default order:

I want the fields to be in a more natural order for Americans (where I live), so:
first name
last name
company (hidden for me)
town/city
state
zipcode
country
email
phone

How can I best do this?

Answer 1

Thanks to Dbranes for the answer.

Replace:

<?php foreach ($checkout->checkout_fields['billing'] as $key => $field) : ?>
<?php woocommerce_form_field( $key, $field, $checkout->get_value( $key ) ); ?>
<?php endforeach; ?>

With:

<?php 
// order the keys for your custom ordering or delete the ones you don't need
$mybillingfields=array(
    "billing_first_name",
    "billing_last_name",
    "billing_company",
    "billing_address_1",
    "billing_address_2",
    "billing_city",
    "billing_state",
    "billing_postcode",
    "billing_country",
    "billing_email",
    "billing_phone",
);
foreach ($mybillingfields as $key) : ?>
<?php woocommerce_form_field( $key, $checkout->checkout_fields['billing'][$key], $checkout->get_value( $key ) ); ?>
<?php endforeach; ?>

Answer 2

You can make a copy into your theme and edit the template that renders the checkout form.

Adapted from the plugin documentation:

Example
To overide the admin order notification, copy: woocommerce/templates/checkout/form-checkout.php
to
yourtheme/woocommerce/checkout/form-checkout.php

[update]

In this file, just before the fields being printed, there's this action hook: do_action('woocommerce_before_checkout_billing_form', $checkout);.

So, it's just a matter of adding this action in the theme's functions.php or in a custom plugin and reordering the fields as the OP shows in his Answer. No need of overriding the template, or yes if further customizations are needed.