I have read in many places (and personally agree) that it is easier to shift from East to West, than from West to East. The reason is that most people's internal clocks are somewhat longer than 24 hours. I believe they've done studies with people in places with no clocks and no lighting cues to tell them the time, and they settle on about a 25 hour schedule.
So for MOST people, it's harder to go from West to East than from East to West, because most people's bodies will be happy to stay up an hour or two later but will have trouble shutting down a couple hours earlier. But it's going to depend on your body, of course.
There are jet lag diets online--I'm not sure I buy into them, but I did find they were more or less correct in suggesting that you should have protein in the morning if you want to wake up, and starch in the evening if you want to go to sleep.
Other than that, I would take advantage of the fact that you'll be up and alert before most people, at least at first--the parks are much less busy in the early morning! And then (if the parks are open late) I would take a nap in the middle of the day, which I think would be plenty to keep you going.
I'm sure others have experience as to how it all works in practice, but I personally wouldn't THINK you will have that much trouble.
I live in the West so all I can tell you from personal experience is that it's VERY easy to shift back to my native time zone from a trip back East--often, despite my best attempts, it's just one or two days before I'm back on my night owl schedule.

But I'm sure some of that has to do with going back home, not just going from East to West.
Going East does a number on me but it actually takes a few days to catch up with me. I guess that could be an option with you (fine for a few days and then suddenly not feeling well for a few hours) but I wouldn't think it's as likely since you are gaining hours instead of losing them.