Hi Jeremy,
It's time for you to make a 'me' book. I have one here somewhere, but I haven't changed jobs in a dozen years so I haven't used it in awhile. You carry the book to all interviews. It starts with your resume, and extra copies. The rest of the book you fill with all about you and your work. Include diplomas, certificates, transcripts, licenses, letters of recommendation, awards, and samples of your work; plenty of photographs, samples of code, whatever. (Get permission if any of that is proprietary to a previous employer). Include your hobbies if they require skills that would be valuable to your prospective employer. When the interview gets to the part where they say: "Tell us about your previous work", I plop down the book and go through it page by page with narrative. I also explain that I know it appears terribly narcissistic, but then, that's what an interview is about, isn't it?
Good luck,
Gary