We camp all the time, at least 2-3 times a month in the summer. our boys are 7 and 4 and both have been camping with us since infancy. our oldest camped for the first time at 7wks old!
We bring two coolers, one filled with ice and all the meat, milk, cooking stuff that needs to stay cool, and the ohter filled with just ice and water bottles. We also purchase 1-3 of the large tip to the side water things that holds 3 gallons. Depending on how long we are going to be out. I make a menu for each day we are gone and pack accordingly... and usually overpack! LOL! We typically make chicken fajita's, hamburgers (buy the premade patties for ease of traveling, storing, and cooking while out camping), hot dogs, stew, chili, hamburger with potato, onion, veggies in tinfoil over the fire to cook, steaks, any fish we catch.... for breakfast we do eggs, sausage, bacon, toast, cereal. For lunch we do sandwiches, grilled cheese, soups, spaghetti.... easy foods.
We always bring clothing for one extra day because it never fails someone falls in the mud, gets wet, etc. Jammies (sweats, t-shirts) sweatshirts, 2 swimsuits each person, 2-3 towels each person, sleeping bag each person, extra blankets, inflatable beds if you choose, pillows.
We bring our bikes too, and our dog. LOL. There is tons to do at an actual campground, swim, bike, hike, explore, go to the beach, the kids will have tons of new friends to play with at each campground. Bring lawn type games, glove and balls/bat. Bring a radio too, but remember to keep it low if you use it soas not ot bug anyone else.
Firewood, fire starting sticks, matches, lighter, paper to help start fire, a grill stand to go over fire for cooking ,pots and pans, plates, silverware, dish soap, paper towels, dish towel, pan for washing dishes, trash bags. Remember to put any food in your vehicle at night so animals dont eat it.
Go for it. Have fun. :)