I think it depends on whether your kids will be tired (how long will they have been up, how long a flight do you have) and where you are staying. Also what time of year and what day of the week are you arriving?
If you had a good stroller and they are good stroller nappers, you
might be able to take them to a nearby park and hope they catch a nap for part of the time. I would generally err on the side of slower paced and relaxed, but it's not impossible.
We tried this on our February trip with an infant and a 4.5 year old who no longer napped, but who had been up since 5am. We had APs and a short flight from NYC - flight landed around 10:30am, we got to the Contemporary around noonish, our stroller rental was waiting for us, but we couldn't get the car seat attachment off. The baby had napped on DME and was awake, ODD was slaphappy and a little hangry. We'd made FP+ reservations at DHS (what was I thinking?!?!) and we had to get the car seat attachment off in order to fold the stroller for the bus. So, no DHS for us. Swapped out the stroller, checked in but our room wasn't ready yet. We decided to walk to MK instead and get lunch at Columbia Harbour House. We got the kids in the stroller, repacked our carry ons so we took one bag into the park, checked the other bags, and set off. It was CROWDED on a Saturday at (1? 1:30?), we ended up stopping to watch the show in front of the castle because ODD *couldn't* just walk past it (the struggle is real), we finally got to CHH after 2. On the plus side, lines weren't too long for lunch by then, everyone was hangry and we found seats on the first floor. We all inhaled our food (including nursing the baby), got in the stroller and set out again. I can't remember what we did after that - I don't think we did any rides, since we got our room ready text and then we had to watch the castle show on the way out, AGAIN, oh, yeah, we watched part of the parade... then it was off to the room, quick change, and head to the GF for an early dinner at 1900 park fare.
What we could have done better:
Had ONE bag packed for a park, had ONE carryon packed for pool, so we could decide when we got to the resort whether to go to a park or a pool. I think some of our problem was we would have hungout in the room if it was ready, but it wasn't. The 4.5yo was tired and hungry, and by the time she saw THE CASTLE!!!!
and OMG THE SHOW!!!
she was beside herself. If we could have folded the stroller and hopped on the bus right away, we might have made it to DHS which was supposed to be less crowded, and had a more peaceful time. We probably should have just eaten lunch at the hotel before going out anywhere. But we wanted to get in the middle of the magic so, off to MK we went.
The year before, we only had 1 kid and our room was ready early, and we arrived on a Thursday, so we had lunch outside on the BW, walked around there, got into the room and took a nap, and then walked to Epcot for a Soarin' FP and dinner at the WS. That was totally doable and more relaxed. But the contemporary and MK on a Saturday were just
much more hectic than the Boardwalk area on a random Thursday afternoon in May.