Display images of a specific content type in a lightbox when vocabulary is clicked
If I were you I would create a "Kitchen Type" content type and then edit the image field to allow unlimited amount of images. Then add a taxonomy field to "Kitchen Type" assigning a taxonomy term to each.

Create a new view which pulls all "Kitchen Type" content types and add the Taxonomy Field and Image field to the display. Views allows you to style individual fields by its tpl naming convention. If you go to the "theme" option in that view you will see a set of file names to place in your theme to style individual fields. You will need to style the image field by looping through the image array and output html which conforms to the lightbox2 convention like this:

&lt;div class="image-set"&gt;
    &lt;a class="example-image-link" href="img/demopage/image-3.jpg" data-lightbox="example-set" title="Click on the right side of the image to move forward."&gt;
        &lt;img class="example-image" src="img/demopage/thumb-3.jpg" alt="Plants: image 1 0f 4 thumb" width="150" height="150"&gt;
    &lt;/a&gt;
    &lt;a class="example-image-link" href="img/demopage/image-4.jpg" data-lightbox="example-set" title="Alternately you can press the right arrow key."&gt;
        &lt;img class="example-image" src="img/demopage/thumb-4.jpg" alt="Plants: image 2 0f 4 thumb" width="150" height="150"&gt;
    &lt;/a&gt;
    &lt;a class="example-image-link" href="img/demopage/image-5.jpg" data-lightbox="example-set" title="The script preloads the next image in the set as you're viewing."&gt;
        &lt;img class="example-image" src="img/demopage/thumb-5.jpg" alt="Plants: image 3 0f 4 thumb" width="150" height="150"&gt;
    &lt;/a&gt;
    &lt;a class="example-image-link" href="img/demopage/image-6.jpg" data-lightbox="example-set" title="Click the X or anywhere outside the image to close"&gt;
        &lt;img class="example-image" src="img/demopage/thumb-6.jpg" alt="Plants: image 4 0f 4 thumb" width="150" height="150"&gt;
    &lt;/a&gt;
&lt;/div&gt;


This should display each set of images for each kitchen type right under it. Once one image is clicked it should open up a lightbox with arrows to go to next image.

Hope this helps or at least points you in the right direction!