Since BirdTrax is not a hard-code solution, I've copied some of my "practice code" into JSFiddle to make data display on your website easier. Here are three files so far, and I'll post as I make more:
This code very simply shows how to embed eBird data in your website in raw form.
Basic Sightings (more gourmet)
This code elaborates on Basic Sightings to create a more user-friendly output by doing a little bit of data processing.
This code does basically the same thing, just for a rarities API with a little more detail
Hope this helps!