Create a Template Override for the following file:
components/com_content/views/tmpl/default.php
Once done, open this file in your override location and go to line 157 and you will see the following:
<?php if ($params->get('show_tags', 1) && !empty($this->item->tags)) : ?>
<?php $this->item->tagLayout = new JLayoutFile('joomla.content.tags'); ?>
<?php echo $this->item->tagLayout->render($this->item->tags->itemTags); ?>
<?php endif; ?>
Move this section of code somewhere futher down in the file to suit your needs
Hope this helps