create variable for Record ID and send in URL

As you well know, I have the ability to look at a page full of PHP code, and within just a few seconds, come up with a recipe for lemon-drizzle cake. I need help to do this simple procedure:

I have done a couple of sites that have a 'Quick Links' area which draws its content from a database (here and here)

On the page I have a recordset (calendar).

I have a repeating region containing the dynamic text drawn from the recordset, therefore I have (once the HTML is stripped out) the following, which is all OK:

<?php echo date('jS F Y',strtotime($row_calendar['event_begin'])); ?>
<?php echo date('g:ia',strtotime($row_calendar['event_time'])); ?>
<?php echo $row_calendar['event_title']; ?>
<?php echo $row_calendar['event_short']; ?>

I need to add in to the repeating region a value for event_id from the recordset (hidden) as a variable that I can carry forward in a URL to another page, so that I can do a SELECT FROM using that ID on the new page.

The simple aim is to have a 'more . . . ' link for each record in the repeating region that links to a page with full details of that particular event.

Please could someone baby-step me through this apparently simple procedure?

Thanks