WordPress - Custom Login, Register and Logout Links

Login.php

add_filter( 'login_url', 'custom_login_page', 10, 2 );

function custom_login_page( $login_url, $redirect ) {
   // Put your login page here
   $custom_login_url = 'http://google.com' ;
   return $custom_login_url ;
}

Logout.php

add_filter( 'logout_url', 'custom_logout_page', 10, 2 );

function custom_logout_page( $logout_url, $redirect ) {
   // Put your logout page here
   $custom_logout_url = 'http://google.com' ;
   return $custom_logout_url ;
}

Register.php

add_action( 'register' , 'register_replacement' );

function register_replacement( $link ){
   
   // Put your Register page here

   $register_url = 'http://google.com' ;
	
	if ( ! is_user_logged_in() ) {
		if ( get_option('users_can_register') )
			$link = $before . '<a href="' . $register_url . '">' . __('Register') . '</a>' . $after;
		else
			$link = '';
	} else {
		$link = $before . '<a href="' . admin_url() . '">' . __('Your Title Here') . '</a>' . $after;
	}
	return $link;
}

Just copy/paste the code into the functions.php file of your child theme or a site specific plugin if you use one.

Remeber to replace $register_url , $custom_logout_url and $custom_login_url with your own links