If you are trying to avoid using a park day that first day, downtown disney is a great choice. there is so much for the kiddies to do that don't cost. lego store, fountain to run in, fossil dig at t-rex, store at t-rex, world of disney etc. personally our family loves t-rex. we have boys 4 and 2 (and a newborn- his vote doesn't count) and they both love t-rex. your kids are just the right age to really enjoy it. the food is good in our opinion, not outstanding best food ever, but very good. and the "erupting volcano" for dessert, is a major hit. i agree with your first day plan.
as far as the plane, we learned that the engine noise really made it hard for the kids to hear a DVD player- good headphones are a must. the last 2 times we let them use the iPad to play games instead and it worked well. don't know if your one year old is just one, or almost two. at just one, we kept the kid hungry and tired until we got on the plane, a bottle and off to sleep he went. by almost 2, he played on the iPad instead. few sit in place games, window clings and books also help. we learned the matchbox cars- REALLY BAD IDEA- did you know that if they roll off the tray, they can roll all the way down the aisle?