Tidiness is worth discussing before you move in together. For one person, a thin layer of dust on the table is a sign that the vacuum cleaner should come out. The other might notice it next month.
Agree together on how cleaning the shared spaces is divided. You could take weekly turns, for example, or split the tasks so that one of you handles the bathroom and the other the kitchen.
The most important thing isn't a perfect cleaning calendar, but that you both have roughly the same idea of what kind of home you want to live in. Taking out the rubbish is worth talking about too. A bin that mysteriously empties itself has, as far as anyone knows, not yet been invented.
