Everyone can help. All family members can help in some way, no matter how young. With a little training from mom or dad, older children and teenagers can manage more complex household tasks. Vary the work assignments to keep your children's interest up. Chores can be laid out in choices, with kids selecting which they will do.
Disagreements are a good time to learn about turn taking and compromise.
Luck of the draw. Each family member chooses one or two slips of paper. This is an easy way for all to take turns with the least and most liked jobs. Make sure everyone has the cleaning supplies they need to do their jobs. When time is up, allow a few minutes for last minute touch-up.