The above are the two most important things.
Bring some items for the kids to keep them occupied.
Bring along some favorite snacks, as long as they are not liquid. We brought fruit.
If they are infants, take a sippy cup to drink during landing and taking off; helps with their ears. For older children, keep some gum handy.
Don't be nervous; if you are, it will translate to your kids. Be upbeat and excited.
Get them familiar with having to take off their shoes, etc. Some kids are really frightened by watching their shoes go off through the scanner, not knowing where they are going.
Be organized, remember you are surrounded by people who are very used to flying multiple times. Have i.d. and boarding pass ready at security; be ready to remove shoes and put everything into the bin. Carry very little in your pockets; less to have to place in the bin. When boarding the plane, stow items quickly so you are not blocking the aisles. Let your children know they need to be patient and wait to get out any toys, books, etc. until after you take-off.
And enjoy the ride; you are on your way to Disney!