Showing information from a taxonomy

I think I may be going around this the wrong way, but I thought I'd check with you on how this could be done.

On my home page, I want to show the latest 3 posts from different taxonomies, with the featured image and excerpt. I've not started on the number yet, but what I ahve below is placed onto the page I've created to be my home page, using the shortcodes given by CustomPress:

Latest Book Reviews

[tax id="book_reviews" before="your text before " separator=", " after=" your text after"]

Latest Film Reviews

[tax id="film_reviews" before="your text before: " separator=", " after=" your text after"]