Welcome, and Thank you for your desire to Subscribe to the Gastrocast!
There is a lot of information on the Web about subscribing to Podcasts, but I will try to briefly supply you with the necessary information to make Subscribing to the Gastrocast painless.
I am assuming you are here and that you already have an podcast aggregator like ipodder. The examples are using ipodder and NetNewsWire–although any podcast accepting RSS aggregator should work about the same.
First, let me direct your attention to the Feedburner links on the blog page:

Any of these links will work to subscribe you to both automatic podcast downloads and the RSS feed for this blog. (I personally subscribe both in my ipodder, and my news reader when I subscribe to a podcast so that I not only get the podcasts, but also the most current blog posts and any Flickr images.)
When you click on one of these links (they’re all the same) they take you to the Feedburner feed for the Gastrocast. You can then cut and paste, drag and drop, or enter the resulting URL–feeds.feedburner.com/podchef–into the aggregator of your choice.
UPDATE: if you just want a podcast feed–use feeds.feedburner.com/podchefalt
This will not be washed out by blog posts.
The first image shows the feed as it appears in ipodder (via cut and paste):

You get to this point by clicking the Add Feed in the podcast-downloading application. Here is the image of NetNewsWire Lite:

In this case you can either drag and drop the URL into the lefthand pane, or add it via the "Subscribe +" Button.
Hopefully this overly complicated method of subscribing with RSS feeds will soon be a thing of the past with the advent of one-click subscription (Check out iTunes Podcasting Directory soon). But until then, I hope this will serve as a good primer.
UPDATE: Here is an image are two images of what to do to subscribe via iTunes 4.9:


Because I am not in the iTunes directory at the moment, if you click the "Advanced" label and then choose "Subscribe to Podcast" from the menu then the popup screen will appear. Paste in the feed and hey, presto you will be subscribed!
Thanks and and I hope you enjoy the Gastrocast!
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