Laundry is the chore nobody thinks about until the hamper overflows and the sheets have not changed in two weeks. Before you split it, size it. A load you can count is a load you can share fairly.
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Count the loads
Walk through a normal week. Count the clothing loads, the towel loads, the bedding loads, and any extra loads from a spill or a rough night. Write the number down. Most families guess low, so count twice. Then ask who is doing each load: at Mom's place, at yours, or a mix. Each choice changes the driving, so tie it to the route you already set.
Check the machine hours
A washer and dryer can take most of an afternoon to handle a full week of loads. Check how long your machine runs on a normal cycle and how long the dryer takes on a full drum. If the hours do not fit the day someone is free, the job will slide. Count the cycles, not the wish.
Carry the basket
The person who carries the basket up and down the stairs, out to the car, or across the yard owns the work in practice. Ask who does the lifting. If Mom needs help with a heavy basket, that is a line item too. Decide whether the basket goes down once a week or several times, and who checks every pocket before anything goes in the wash.
Sort out the folding
Name the person who folds and the place where clean clothes go back. A clean load sitting in a basket for three days is not finished work. Confirm the drawer, closet, or chair where folded laundry will live, so the job actually has an end.