This one is hard to answer without knowing you and your family's likes and dislikes. Staples are good to start with otherwise.
Spices (whatever you like)
Koolaide, Tea, Coffee (coffee filters)
O.J., Apple Juice, Cranberry Juice
Syrup, Pancake Mix
Snack Bars, Granola
Fruit Snacks, Raisins
Nuts (whatever you like)
Pet Food (if needed)
Macaroni, Spaghetti, Zitti, Rotini, Egg Noodles, etc...
Sloppy Joe Mix
Dill Pickles, Sweet Pickles, Pickle Relish
Green Olives, Black Olives
Peanut Butter, Jelly
These are just a few ideas depending on your needs and likes. When you first move in take paper plates, napkins, plastic silverware, plastic cups and trashbags. Save yourself work and get frozen pizzas, frozen lasagnas, frozen fried chicken, pot pies or t.v. dinners. You can add a salad, frozen bread sticks, frozen garlic bread and some fruit to round out the meal. You will be working hard enough with the move and unpacking to not have to worry about cooking as well.
Good Luck! :)