Calling a custom made table with $wpdb

This bit is for an auto-complete script I’m trying to implement. I created a table called ‘wp_cities’ and filled it with cities and I want to call that table below. Right now it calls tags.

How can I get the code to call all the values from the wp_cities table?

<script type="text/javascript">

	$(document).ready(function(){

	var data = '<?php global $wpdb; $search_tags = $wpdb->get_results("SELECT * FROM $wpdb->terms"); foreach ($search_tags as $mytag){ echo $mytag->name. " "; } ?>'.split(" ");
	$("#s").autocomplete(data);

	})
	</script>

Any help is appreciated.