How to list child categories of a post as links?

Hi guys,

I found some code that tells WordPress to list all child categories belonging to a post. It works well but can anyone help to amend it so each is a link separated by a comma?

Thanks

<?php $post_child_cat = array();
foreach((get_the_category()) as $cats) {
    $args = array( 'child_of' => $cats->cat_ID );
	$categories = get_categories( $args );
	if( $categories ) foreach( $categories as $category ) {
	echo $category->cat_name; }
} ?>