I only want feed items that have images. How do I filter out the ones that don't?
In your loop through the items, you can check the item content for the img tag:
foreach ($feed->get_items() as $key=>$item) {
if ( stristr($item->get_content(), '<img') == false ) {
// show the article
}
}
This code will only show articles that DON'T have images. To do the opposite, change the condition:
if ( stristr($item->get_content(), '<img') != false ) {