Figure out what you are going to make; there are various resources online that explain how to make all kinds of objects using paper. Start with easy paper projects like a paper plane, then move into more difficult work like origami. If you choose to do origami with your children, make sure you have practiced so you can illustrate how to do it.
Each paper project might need specific type of paper; origami needs specific size and thickness so that it can be bent properly and does not rip. When making easy paper projects, printing paper and even cardboard can be used. Use egg carton boxes when making a caterpillars.
Bring a pair of scissors, tape and a pen. The scissors will be used to cut and trim various loose ends. The tape can be used to put various paper crafts together: flowers on top of sticks or boats on paper water. A pen is the best way to give the craft some character.
Show off your new paper projects to your friends and family members so that you can do it again with them. As time goes on and you create new paper projects the creativity will flow with family and friends.