My personal take, just take the extra copies with you. I think calling the day before might just be annoying. From my personal experience, half of your interviewers will just be reviewing your resume for the first time the day of while you're actually sitting across from them.
My other piece of advice would be to find a subtle point in the interview to introduce your new experience. Obviously this will very from interview to interview, but I've learned that sometimes shoving your accomplishments comes off pushy.
Part of the trick of interviewing well is knowing when to insert just the right tidbits about yourself at the right time. Your update resume can be one of those moments.