The book suggested a notecard system with all the chores listed on cards. They pulled a card from the front, completed the chore and slipped it in the back for recycling. I found it worked better for me to write the chores on a calendar posted on the side of my fridge. Later I condensed the chores and put them on a chart so I don't have to rewrite them each month or each year. You will also notice I left my weekends free of chores and the last week or two of the month are seasonal which I tend to get done in a couple of days. It has worked for me very well.
My chart is printable so you don't even have to rewrite them! The thing I like best about this method is the ability to move a chore to another day if I cannot complete it on the planned day. It's my list, so I change it as I need to. I can add chores or remove them if they are no longer relevant. No one has ever followed up on me to make sure I don't cheat...which I have more than a few times.
I hope you find it helpful whether you are just starting out house keeping or if you've been at it for years and need to find a less stressful method to keep it clean.
Here's the link: printable chart
If you have questions, leave a comment