Use date filter for node created filter. With it we use date calendar and options.

mymodule_views_data_alter.php

<?php
function mymodule_views_data_alter(&$data) {
  $data['node']['created'] = array(
    'title' => t('Post date'), // The item it appears as on the UI,
    'help' => t('The date the content was posted.'), // The help that appears on the UI,
    'field' => array(
      'handler' => 'views_handler_field_date',
      'click sortable' => TRUE,
    ),
    'sort' => array(
      'handler' => 'views_handler_sort_date',
    ),
    'filter' => array(
      'handler' => 'date_views_filter_handler_simple', // Requires date.module.
    ),
  );
}