Y'know, we're talking about physical possessions, but consider this:
1. Bring at least TWO (preferably THREE) official copies of your birth certificate, divorce certificate (if applicable), university or school transcripts (in sealed/endorsed envelopes), and vaccination records. If it's cheaper to get necessary vaccinations in your country, do that while you can, and have them transcribed onto your official inoculation record or get two (three) original-signature (or office-stamped) copies.
2. If you have a driver's license, renew it so that it's as fresh as possible. If you don't have one, do everything in your power to get it.
3. If your visa isn't already in your passport, renew your passport so that it's as fresh as possible.
There may be other such items that you can think of, but the above should not be overlooked. They're a LOT easier to get now than if you're overseas in the U.S. and need them, perhaps desperately.