A daily chore checklist works best when it is short, visible, and tied to the actual repeated work your house creates every day.
Separate daily essentials from everything else
Daily chores should focus on the work that resets the house: dishes, counters, visible clutter, floors, trash, and laundry flow.
Keep each person's lane simple
Children and adults do not need the same interface. A daily checklist is easier to follow when it only shows what that person owns.
Do not overload one day
Some chores should stay weekly or monthly. A daily checklist should preserve the day, not recreate the entire house.