You'll want sleeping bags and a nice foam pad that self-inflates, to make sleeping comfortable. In your cooking kit, you'll need pots and pans, a stove, some fuel and several different kinds of food, including dried raisins and apricots. Dried food that you can cook with water, like rice, is nice too. Other kitchen items are a mixing spoon, spatula and several different kinds of spoons. Tube containers can hold food that can be squeezed out like peanut butter, mayonnaise or even honey.
Personal equipment includes forks, bowls, cups and washing implements.
Of course, you'll want a flashlight, which is a good thing to have on all camping trips. A water-purifying filter really makes sense if you're in an area where the water may not be clean. A toiletry kit, which is just a small bag, might include toilet paper, a brush, toothpaste, toothbrush, little containers of shampoo, sunscreen, oil for muscles that get sore, chapstick, athlete's foot lotion and insect repellent. Underneath all these is a towel that you'll always want to carry. You will also need to carry panniers on your bike.