Display the information about the shipping service.

Probably it's too late for answer, but I feel that displaying shipping description would be helpful, so, in Kickstart 7.x-1.3+40-dev commerce_shipping_service_rate_options function from profiles/commerce_kickstart/modules/contrib/commerce_shipping/commerce_shipping.module need to be replaced by code below. It grabs shipping description field and displays it on checkout page:

function commerce_shipping_service_rate_options($order) {
  $options = array();
  foreach ($order->shipping_rates as $name => $line_item) {
    $line_item_wrapper = entity_metadata_wrapper('commerce_line_item', $line_item);
    $options[$name] = t('!shipping_service: !price <br> !shipping_service_details', /* Here's Shipping description was added */
    array(
      '!shipping_service' => commerce_shipping_service_get_title($name, 'display_title'),
      '!shipping_service_details' => commerce_shipping_service_get_title($name, 'description'), /* Here's Shipping description was added */
      '!price' => commerce_currency_format($line_item_wrapper->commerce_unit_price->amount->value(), $line_item_wrapper->commerce_unit_price->currency_code->value()),
    ));
  }

  // Allow modules to alter the options array generated for the rates.
  drupal_alter('commerce_shipping_service_rate_options', $options, $order);

  return $options;
}

This is a really interesting question I recently faced. We really need a way to display shipping service description to improve customer experience.

This should be discuss in Commerce Shipping issue queue. I already opened an issue about that, see #2010738: Add shipping services description

Nobody wants to work on this it seems.