Using wp_get_post_terms to separate Parent & Children

Hi there.

I’m successfully using wp_get-post_terms to list the taxonomies associated with a post on my single template. This is all great.
However, I’d like to list Parents and Children slightly differently.
It’s a music website, so parents are Artists and children are Albums. I’d like to be able to distinguish between the two for clarity to the user.

e.g.
Artist/s: $term->name, $term->name2
Album: $child_term

Here’s my current code for reference.

<?php $terms = wp_get_post_terms($post->ID,'hhie_artists');
						$count = count($terms);
						if ( $count > 0 ){
						echo "<ul>";
						foreach ( $terms as $term ) {
						echo '<li><a href="'.get_term_link($term->slug, 'hhie_artists').'">'. $term->name . "</a></li>";
						}
						echo "</ul>";
						}
				?>

I tried using

$child_term = get_term( $term_id, 'category' );
$parent_term = get_term( $child_term->parent, 'artists' );

to no avail.