HI Muhammad Tariq.
You can paste this code on child theme functions.php file to remove search form from header menu:
function styledstore_add_search_form_with_navigation_menu( $items, $args ) {
return $items;
}
And to add searchform on top bar you need to customize the header.php template. Be sure you customize it keeping on child theme otherwise your changes will lost on theme update.
Thanks