In this very specific example, I really don't see why anyone needs a checklist, or to be reminded. It's your household too, you need to know the things that need to be done, and do a reasonable share of them.
In the more general "team at work" case, it's also straightforward, sit together, define the bucket of work that needs doing, distribute it "fairly", and go do it. The team leader's job is to get and communicate outside stakeholders' needs + the wider org context, not to give marching orders.