Scattered, as I remember the system in GYAT - Get your act together - doesn't work well when one works, as it's too hard to do a full day of heavy cleaning after work.
I think I'd try to work out the days with two weeknights free, one for paper work, one light cleaning and one errands, the use Saturday and Sunday as they are in the good - a family work day and family rest day. Using the family work day to do heavy cleaning means that your dkids will have to learn to pull their share. The Free evenings can be used when you work the longer days, and when you do have the weekday off, perhaps you could combine errands with some light cleaning and get another week night free.
After years, I still think of Wednesday as errand day, Monday as light cleaning (my cleaning lady is here on Monday also so I can do some things she doesn't do) and Tuesday as paperwork, even tho I don't work a BWP anymore. Would be a good plan for me to try to introduce a weekly routine again now that we're empty nesters. I usually work three days a week this time of year, but full time, and beyond during tax season when practically nothing gets done except on Sunday.
Good luck - I think it takes a lot of thinking through what you're able to do on a weekday along with work...
Be at war with your vices, at peace with your neighbors, and let every new year find you a better [wo]man. Ben Franklin