Welcome aboard, Betsy!
One your four night sailing, you will have a dining rotation that will take your family through all three of the main dining restaurants. The restaurant in which you dine on night three will be the same one in which you'll dine on night four. Since night three will most likely be Pirate Night, that is a fun night to be with your kids in the restaurants, enjoying the pirate themed menu and dressing up in your swashbuckling best! (Don't forget to pack some pirate gear to wear - yes, adults too!)
That leaves night four as a great night to dine in
Palo or Remy, as you'll have already experienced the assigned restaurant in main dining the night before. My only concern about that night, is that if you are assigned the dining rotation putting you in Animator's Palate on nights three and four, the "show night" there will be held on night four, and you certainly don't want to miss that. Perhaps booking an early reservation on pirate night (night 3) will ensure that you can enjoy your meal and still be done in time to take the girls up on deck for the pirate party that begins around 9:30.
While you dine in the Adult Exclusive restaurant of your choice, your girls can plan to go to your regular main dining assignment with you sitting with them before you head to your reservation. Or, if your reservation overlaps with their assigned dining time, they can eat in the Oceaneer's Club or Lab. Finally, the other two options are to take them to Cabanas for dinner before you head to your meal, or even order from the complimentary room service menu before you head out. Then, drop the girls off for some fabulous programming in the clubs and head off to enjoy what is sure to be an amazing meal!
I hope that helps as you continue to plan, Betsy! Please let me know if you have other questions!