I take some travelers cheques, a minimal amount of cash for tipping and use my Visa.
I don't get why people think travelers cheques are a hassle though, I just sign my name and hand it over...that's it. :shrug: I have to sign my name when charging things as well so it's the exact same amount of time and I can get cash back if I need it.
Besides, I have had my wallet stolen while traveling (not to Disney), called my bank and had the travelers cheques replaced in less than 12 hours, can't do that with cash.