WordPress Query Taxonomy for Child and Parent

I have a taxonomy-types.php set up with a custom post type (Products) and on this page I want to display different content depending on what level (hierarchical) taxonomy is currently being displayed, which are like this;

• Cushion
  • Colours
    • Blue
    • Red
  • Themes
    • Children’s
    • Seaside
• Curtain
  • Colours
    • Purple
    • Orance

I have 3 levels of taxonomy (above) and I need to test whether the current taxonomy:

1. Has no parent but has a child (level 1)
2. Has both a parent and a child (level 2)
3. Has a parent and no child (level 3)

This will give me the three different levels. Depending on what level the visitor is currently in, I’ll display something different on the page.

$term = get_term_by( 'slug', get_query_var( 'term' ), get_query_var( 'taxonomy' ) ); // get current term
$parent = get_term($term->parent, get_query_var('taxonomy') ); // get parent term
$children = get_term_children($term->term_id, get_query_var('taxonomy')); // get children
if(($parent->term_id!="" && sizeof($children)>0)) {
	// has parent and child
}elseif(($parent->term_id!="") && (sizeof($children)==0)) {
	// has parent, no child
}elseif(($parent->term_id=="") && (sizeof($children)>0)) {
	// no parent, has child
}