Next to how you build the week today
Most workplaces already have a system. It is usually a spreadsheet, a group chat, a sheet of paper by the till, or all three at once. Here is what each of them costs the person who builds the week and the people who work it.
Pick the one you recognise
Weeksort or a spreadsheet
One file, one author, and a version everybody else is guessing at.
Weeksort or a group chat
Where the swap was agreed, and where nobody can find it again.
Weeksort or the wall chart
Readable by everyone, and true only until the first change.
What none of them can fix
Weeksort schedules. It does not clock anybody in or out, it does not calculate pay, and it is not your statutory record of hours worked. Whichever of these you use today, keep your hours records where your law says to keep them.