I'm impressed with y'all eating just 2 meals a day with all that walking
At home, we eat breakfast, lunch, and dinner. Added walking tends to just make us hungrier so we definitely aren't skipping meals. Now, we aren't buffet people or overeaters so when we hit a table service breakfast, I get a standard, breakfast sized meal like I would at home - 2 eggs, 2 bacon, and some fruit. Or an egg white frittata and fruit. And it would normally be around 7:30/8am.
By noon? My stomach is growling - just like at home. I don't want a 3 course meal but a shawarma platter at Tangierine Cafe would hit the spot
I calorie count, though, so eating before I'm starving is the key to my success. Skipping a meal and just chowing down on a bunch of snacks doesn't tend to keep me full as long and kills my diet.
OP - While long days at the park can affect your eating habits (esp when it's hot and humid), don't discount what your normal family routine is. In our house, we eat 3 solid meals and keep snacking to a minimum. Works for us. At Disney, we tend to keep to that because we avoid being hangry and it's cost efficient. Maybe plan for your norm and tweak along the way?