How can I get the user's local time instead of the server's time?

Here's a "PHP" solution:

echo '<script type="text/javascript">
var x = new Date()
document.write(x)
</script>';

As mentioned by everyone PHP only displays server side time.

For client side, you would need Javascript, something like the following should do the trick.

var currentTime = new Date();
var hours = currentTime.getHours();
var minutes = currentTime.getMinutes();

if (minutes < 10) {
    minutes = "0" + minutes;
}

document.write("<b>" + hours + ":" + minutes + " " + "</b>");

And if you want the AM/PM suffix, something like the following should work:

var currentTime = new Date();
var hours = currentTime.getHours();
var minutes = currentTime.getMinutes();

var suffix = "AM";

if (hours >= 12) {
    suffix = "PM";
    hours = hours - 12;
}

if (hours == 0) {
    hours = 12;
}

if (minutes < 10) {
    minutes = "0" + minutes;
}

document.write("<b>" + hours + ":" + minutes + " " + suffix + "</b>");

Here is a list of additional JavaScript Date and Time functions you could mess around with.

You could possibly use Geolocation by IP Address to work out which country the user is in, and then use that.

But using Javascript or letting the user choose a Timezone will probably be better.