Changing Position of Cart & Search Box

Hi,
I wanted to move the cart area up and inline with the search box in the header.
I managed to achieve this by using the following code:

remove_action( 'storefront_header', 'storefront_header_cart', 60 );
add_action( 'storefront_header', 'storefront_header_cart', 35 );

This works, however it also leaves the original cart in place too, so I managed to remove this by using this code:

add_action( 'init', 'jk_remove_storefront_cart' );
function jk_remove_storefront_cart() {
remove_action( 'storefront_header', 'storefront_header_cart', 60 );
}

Is this the best way to achieve this as it appears I am having to remove the cart twice?.

thanks.