Alpha, it's high time you stood up to your wife and I'll be the first and loudest one advocating it. But logistics about your KIDS isn't the first (ever?) hill you want to fight on.
"Of course, you know I love spending as much time with them as possible. For their stability and sense of security, I think you'd agree we should plan out their schedules for the week as far in advance as possible. Maybe you can suggest a schedule going forward and I'll take a look at it?"
