Conditional page title for home verses other

Hello

I’m trying to create a conditional page title.

For home, it would display the blog name, for anything else, the post/cat name plus blog name.

This is as far as i’ve got. Can this all be within the <title> instead of having two?

<?php $subs = get_categories('parent=9');
$sub_ids = array();
if( $subs ) foreach( $subs as $sub ) { $sub_ids[] = $sub->term_id; }
if( is_single() && in_category( $sub_ids ) ) : ?>
<title><?php bloginfo('name'); ?></title>
<?php else : ?>
<title><?php wp_title(''); ?> — <?php bloginfo('name'); ?></title>
<?php endif; ?>