My mother says I've been camping since i was 6 weeks old. That was back when dinosaurs still roamed the earth.
DH & I started camping with our kids late. He had never camped before and was definitely in the "can't we get a hotel" camp. I'm glad he didn't judge camping by our first trip. Not that is was so bad, but you know there was a learning curve. I had skills, he had none. We had three kids, one of whom was a severely handicapped 3yo who couldn't walk, talk, or feed himself. And STILL we went camping!
You've gotten a lot of good advice. Or at least a LOT of advice. I always try to simplify things, bringing only those things I know I will need. I pack a few games, books, paper and crayons in the car for JUST IN CASE. On a rainy afternoon, it actually is a lot of fun to sit in the tent and play dominoes.
Kids. Have each of the kids pack two backpacks, or a backpack and a duffel bag. Their clothes go into one backpack/duffel bag. Check the duffels to make sure everyone is bringing clean undies, pajamas, and swim suits. their toys go in the other backpack. If the kid can't fit all his stuff into two carry-alls, then he's bringing too much stuff. Thin it out. Number 1 rule of camping: Each adult/child must be responsible for their own gear. Don't take NO for an answer. On a camping trip, every person has to take care of himself. No parent should be toting a kid's stuff unless that kid is physically unable.
Tarps. Can't say enough about Tarps. We put one under the tent and one in front of the doorway so it's easy to sweep off. We usually erect a large tarp over the whole set-up so we can stay dry.
Box fan. We carry one on all our summer trips. I'm assuming ya'll are not going off the map for this trip. Take your orange electrical cord and get the fan going. It will help keep the flies and mosquitos away.
Sleeping. No sleeping bags! In the summer, just take some sheets to cover your mattresses and a few light-weight blankets or flannel sheets. Bring your pillows. Put the fan inside the tent at night so you can keep the air moving. Do not take off the rainfly so you can sleep under the stars, no matter how much the kids beg you. You will be soaked with dew by morning and it will be the most uncomfortable night of your life.
Rubbermaid totes. Oh, please, just let me sing the praises of Rubbermaid! They make the best totes! I keep one blue tote packed with cooking tools, pans, matches, tablecloth, and another blue tote to carry all the dry or canned food. I use a green tote to haul all our towels and washclothes. Bring your bread in a laundry basket--empty the basket at camp, start collecting all those dirty clothes.

Good times.