Post tag list

I would like to ask, how to post the tag list.

in the loop of the front page (index.php ?) or single posts (single.php) add <?php the_tags(); ?> http://codex.wordpress.org/Function_Reference/the_tags

where the list displays only Title and Content before MORE…

create a template tag.php http://codex.wordpress.org/Tag_Templates possibly starting with a copy of index.php (this depends on the structure of your theme);
then make sure to have the_content('read more'); http://codex.wordpress.org/Function_Reference/the_content within the loop http://codex.wordpress.org/The_Loop

for more detailed suggestions, please post more information such as the name of your existing theme and a link to your site.