We have created a fully featured WooCommerce SMS extension. This plugin works for Australia, New Zealand, Singapore, UK and USA and does not require numbers to be in a specific format for delivery.
It is super easy to install and is compatible with the latest versions of Wordpress and WooCommerce.
Once you upload the extension you can access the settings from the WooCommerce/Settings menu under the integration tab.
To install download the plugin and upload via the Wordpress Plugins/Add New/Upload Plugin page
If you need any help, just email firstname.lastname@example.org and we will assist you to get setup.