We fly with the kids MA to CA once or twice a year. We usually just join the local time zone once we've landed in terms of sleep. With meals, I try to match our local time zone, but it's not always possible the first day.
Our usual MO is to fly out on the first flight around 6 am and we hit the ground running in CA. Usually the kids will nap a little on the plane (less now that they are older at 6 and 10).
We get to bed around our usual time, maybe a little earlier (still based on the local time, so if bedtime is 9 pm at home, it's 9 pm in CA) and inevitably someone or all of us wake up super early the next morning. But then we are adjusted.
I have found that for our family, it's much easier to adjust flying west.
Going home, we've been flying the redeye. And I just plan for a day or two where we are functioning zombies. When the kids were younger, I would sacrifice the whole day and fly during the day, even though I hated wasting the day on a plane.
We just got home from a redeye and both girls stayed up the entire 5+ hour flight. Darn JetBlue and those movies! But we just slept for a few hours once we got home and we were ok. I won't lie and say we were great. But it worked.
To answer your question re ADR times, I'd go easy on the first day, maybe plan an earlier dinner so that you can be back at the hotel, if needed. But for your other days, I would just go by local time. And it's Disney, so knows what it will do to your schedule!
HTH!