[Plugin: Login Logout] Move Widget Location Using Code

You may use this code:

<?php
wp_loginout( get_permalink() );
wp_register('', '');
?>

It works even without the plugin.

You may take this piece of code of the plugin and put it into your template:

<?php
		$redirect_to_self = 'http://' . $_SERVER['HTTP_HOST'] . $_SERVER['REQUEST_URI'];
		//$redirect_to = $_SERVER['PATH_INFO'];
		if( empty( $login_redirect_to ) ){
			$login_redirect_to = $redirect_to_self;
		}
		if( empty( $logout_redirect_to ) ){
			$logout_redirect_to = $redirect_to_self;
		}
		$wrap_before = '<p class="wrap_login_logout">';
		$wrap_after = '</p>';
		$item_before = '<span class='; // class will be added and the tag is not closed
		$item_after = '</span>';
		$split_char = ' | ';
		echo $wrap_before."\n";

		$welcome_text = '[username]';
		if ( is_user_logged_in() ){
			$current_user = wp_get_current_user();
			$username = $current_user->display_name;
			$username_link = '<a href="'.admin_url('profile.php').'">'.$username.'</a>';
			$welcome_text_new = str_replace('[username]', $username_link, $welcome_text);
			echo $item_before.'"item_welcome">'.$welcome_text_new.$item_after.$split_char;
		}

		echo $item_before;
		if ( ! is_user_logged_in() ){
			echo '"item_login">';
			echo '<a href="'.esc_url( wp_login_url( $login_redirect_to ) ).'">Log in</a>';
		}else{
			echo '"item_logout">';
			echo '<a href="'.esc_url( wp_logout_url( $logout_redirect_to ) ).'">Log out</a>';
		}
		echo $item_after;
		//wp_register();

		if ( ! is_user_logged_in() ) {
			if ( get_option('users_can_register') ){
				echo $split_char.$item_before.'"item_register">'.'<a href="'.site_url('wp-login.php?action=register', 'login').'">Register</a>'.$item_after;
			}
		}

		if ( is_user_logged_in() ) {
			echo $split_char.$item_before.'"item_admin">'.'<a href="'.admin_url().'">Site Admin</a>'.$item_after;
		}
		echo "\n".$wrap_after."\n";
?>

You may modify it as you wish. It is part of the Login-Logout plugin but it can works without the plugin.
Just copy and paste the code where you need it.