Custom Taxonomy Page

Depending on the hierarchy of WordPress templates, you can create a template: category-$slug.php, in your case, it will be: category-destinations.php (to mention that the slug must be the same name) .

So this template will have the priority if we click on the link category destinations.

I used Twenty Nineteen theme.

Templete named : category-destinations.php

get_header();
?>

<div id="primary" class="content-area">
    <main id="main" class="site-main">
                <?php
                $subcat = get_categories(array(
                    'orderby' => 'name',
                    'parent' => $wp_query->queried_object->term_id
                ));
                if (count($subcat)):
                foreach ($subcat as $key => $value) {
                    echo '<h2>' . $value->name .'</h2>';
                    echo '<a title="'.$value->name.'" '
                            . 'href="' . esc_url(get_category_link($value->term_id)) .'">'
                            .esc_html($value->cat_name,"twentynineteen").'</a>';
                }
                else :
                    esc_html__("No subcategories found","twentynineteen");
                endif;
    ?>
    </main><!-- #main -->
</div><!-- #primary -->

I created a Destination category, and I added: Aciform, arrangement, ….. as a subcategory and the relults :

enter image description here

Here I have recovered that the name and the links of the category. if you want to add an image to the subcategory, you need a custom code, because WordPress by default does not offer the possibility of adding images for the category.