Modify the WooCommerce Shop page

The typical shop page will look something like this:
(Example using the theme Twenty Twenty Two.)

Remove “Showing all x results” and sorting drop down.

/* Remove sorting result "Showing all x results". */
remove_action('woocommerce_before_shop_loop', 'woocommerce_result_count', 20);

// Remove sorting drop down.
remove_action('woocommerce_before_shop_loop', 'woocommerce_catalog_ordering', 30);

The WooCommerce Shop page contains the following hooks

woocommerce_before_main_content
woocommerce_archive_description
woocommerce_before_shop_loop
woocommerce_before_shop_loop_item
woocommerce_before_shop_loop_item_title
woocommerce_shop_loop_item_title
woocommerce_after_shop_loop_item_title
woocommerce_after_shop_loop_item
woocommerce_after_shop_loop
woocommerce_after_main_content

From: tychesoftwares: Woocommerce shop page hooks visual guide with code snippets

Taking methods from Single Product page and using them here.

Adding text and link after the Shop page title.

/* Adding a custom text and link just after the page title.  */
add_action( 'woocommerce_archive_description', 'woo_text_link', 20 );

function woo_text_link() {
	echo( '<p>Some text here. <a href="#" class="custom-text">A custom link!</a></p>');
}

Add the CSS to the class “custom-text”.

/* CSS class added to the above code. Can be styled in the style.css file. */
.custom-text {
 	color: red;
 }

The result of removing “Showing all x results”, sorting drop down and adding custom text and a link.

Remember to check out the Single Individual Product page tutorial for additional tips that can also be transferred over to the Shop page.

Adjust “Add to cart” text.

/* Change "Add to cart" text. Almost the same filter is used from the single product page. https://www.businessbloomer.com/woocommerce-edit-add-to-cart-text-by-product-category/ */
add_filter('woocommerce_product_add_to_cart_text', 'custom_add_to_cart_text');
 
function custom_add_to_cart_text() {
return __('Shop: Buy Now', 'woocommerce');
}

Change “Add to cart” button text based on product category.

add_filter( 'woocommerce_product_add_to_cart_text', 'bbloomer_archive_custom_cart_button_text' );

function bbloomer_archive_custom_cart_button_text() {
global $product;
    if ( has_term( 'Books', 'product_cat', $product->ID ) ) {
    return 'Add a book';
    } elseif ( has_term( 'Movies', 'product_cat', $product->ID ) ) {
    return 'Add a movie';
    } else {
	return 'Add to cart';
    }
}

Additional resources:

https://www.businessbloomer.com/woocommerce-remove-rename-add-default-sorting-options-shop/

https://www.businessbloomer.com/woocommerce-edit-add-to-cart-text-by-product-category/