How to deal with WordPress on localhost

You can use wp-config.php to change the site url depending on where the site is accesed from, using $_SERVER['REMOTE_ADDR']. Mine has something like this:

if ($_SERVER['REMOTE_ADDR'] == '127.0.0.1' || $_SERVER['REMOTE_ADDR'] == '::1') { 
    // accesing site from my local server
    define('WP_SITEURL', 'http://localhost/mysite/');
    define('WP_HOME', 'http://localhost/mysite');
} else if (strpos($_SERVER['REMOTE_ADDR'],'192.168.0.') !== false) {
    // accesing site from another machine in my home network, 
    // all their (internal) network addresses begin with this number;
    // the next line provides the server's own internal network address 
    define('WP_SITEURL', 'http://192.168.0.192/mysite/');
    define('WP_HOME', 'http://192.168.0.192/mysite');
} else { //accesing site from outside home
    define('WP_SITEURL', 'http://89.*.*.*/mysite/'); //replace by your external home IP
    define('WP_HOME', 'http://89.*.*.*/mysite');
}
//error_log("Siteurl is ".WP_SITEURL);

This technique also helps a lot to simplify uploading the site to a production server or keeping in sync local and production versions of the site. (Though, obviously, the wp-config.php on the production server should not have this code.)

Note: For some reason, I cannot use my external home IP from other machines in my home network; if that’s not your case, you can remove the else if, leaving only the else part.