Shortcode Confusion

This may not be the best solution, so if you can think of another way to do this, I would love to know.

I’m trying to make it easy to enter a definition list via the visual editor (and not in html view) for basic users in a site. The output should be something similar to this:

<dl class="service">
<dt>Name of Service</dt>
<dd class="price">Price</dd>
<dd class="desc">Description of Service</dd>
</dl>

I’ve been trying to create shortcodes to handle this, but I haven’t been successful. This is what I’ve tried:

/* ====== Shortcode: Service Item */
function register_shortcode_item($atts, $content = null) {
       return '<dt>' . $content . '</dt>';
    }
    add_shortcode("item", "register_shortcode_item");       

/* ====== Shortcode: Service Price */
function register_shortcode_price($atts, $content = null) {
       return '<dd class="price">' . $content . '</dd>';
    }
    add_shortcode("price", "register_shortcode_price");       

/* ====== Shortcode: Service Description */
function register_shortcode_description($atts, $content = null) {
       return '<dd class="description">' . $content . '</dd>';
    }
    add_shortcode("description", "register_shortcode_description");

For some reason, everything seems to work fine, except it’s not parsing all the shortcodes (price). I enter:

[service][item]Mini Manicure[/item][price]$25[/price][description]description goes here[/description][/service]

Can anyone point me in the right direction?

Thanks