<?php
  $terms = get_the_terms($post->ID,'type');
  foreach ( $terms as $term ) :
    $typeName = array();
    $typeName[] = $term->name;
    ?>
    <small><?php echo implode(', ', $typeName); ?></small>
  <?php endforeach; ?>

$terms = get_the_terms($post->ID,'category');
$typeName = array();
foreach ( $terms as $term ) {
  $typeName[] = $term->name;
} ?>
<small><?php echo implode(', ', $typeName); ?></small><?php

$terms = get_the_terms($post->ID,'category');
$typeName = wp_list_pluck($terms,'name'); ?>
<small><?php echo implode(', ',$typeName) ;?></small><?php

$terms = get_the_term_list( $post->ID, 'category', $before = '', $sep = ', ', $after = '' ); ?>
<small><?php echo $terms; ?></small><?php