How to loop through custom taxonomy categories

I’m trying to figure out how to add my custom taxonomy categories to a template page and have them link to all custom post types of that category.

Here is what I have so far. I created a plugin to hold the functions creating the custom post type (contractor) and custom post taxonomy category (contractor_category). This is working as far as I have a template page(page-contractors-full-width.php) that lists all of the contractors. At the top of the page I have a loop that lists all of the custom categories (contractor_category). The issue is the links are going to a 404 page. I can’t figure out what the slug should be for each custom category. I have tried /contractor/contractor_category and /contractor_category

I tried creating archive-contractor.php and archive-contractor_category.php and taxonomy-contractor_category.php just to see if any of those would work but they didn’t work. I’ve pureed reading through the wordpress docs on this but it’s a bit over my head. I’m better looking at examples lol..

Here is my plugin code where create the custom post type and custom taxonomy

add_action( 'init', 'create_contractor_category_tax' );

function create_contractor_category_tax() {
	register_taxonomy(
		'contractor_category',
		'contractor',
		array(
			'label' => __( 'Contractor Category' ),
			'rewrite' => array( 'slug' => 'contractor_category' ),
			'hierarchical' => true,
		)
	);
}

function nari_post_type_contractor() {

	$supports = array(
	'title', // post title
	'editor', // post content
	'author', // post author
	'thumbnail', // featured images
	'excerpt', // post excerpt
	'custom-fields', // custom fields
	'comments', // post comments
	'revisions', // post revisions
	'post-formats', // post formats
	);

	$labels = array(
		'name' => _x('Contractors', 'plural'),
		'singular_name' => _x('Contractor', 'singular'),
		'menu_name' => _x('Contractors', 'admin menu'),
		'name_admin_bar' => _x('Contractors', 'admin bar'),
		'add_new' => _x('Add New', 'add new'),
		'add_new_item' => __('Add New Contractor'),
		'new_item' => __('New Contractor'),
		'edit_item' => __('Edit Contractor'),
		'view_item' => __('View Contractor'),
		'all_items' => __('All Contractors'),
		'search_items' => __('Search Contractors'),
		'not_found' => __('No Contractors found.'),
	);

	$args = array(
		'supports' => $supports,
		'labels' => $labels,
		'public' => true,
		'query_var' => true,
		'rewrite' => array('slug' => 'contractor'),
		'has_archive' => true,
		'hierarchical' => false,
	);
	register_post_type('contractor', $args);
}
add_action('init', 'nari_post_type_contractor');

Here is the code where I loop through and get the custom taxonomy links

// Get the taxonomy's terms
$terms = get_terms(
    array(
        'taxonomy'   => 'contractor_category',
        'hide_empty' => true,
    )
);

// Check if any term exists
if ( ! empty( $terms ) && is_array( $terms ) ) {
    // add links for each category
    foreach ( $terms as $term ) { ?>
        <a class="btn  btn-default" href="<?php echo esc_url( get_term_link( $term ) ) ?>">
            <?php echo $term->name; ?>
        </a><?php
    }
}

Any help would be greatly appreciated 🙂