Automation: Move items to group on Monday morning

I have a time tracking board with different numbers in it for different categories. At the end of the day my team will enter how much time they spent in each category and mark as status as done. At the start of a week, I want to move all the items in a group called Current Week to another group called Previous Weeks.

I am going to be creating a dashboard that looks at the Previous Weeks so I can track what our averages are.

What is the best way to accomplish this with automations?