Well since you can't avoid this.. just break it up into doable sessions.. Set a timer for 15 mins.. Wash dishes or pots and pans, etc when timer buzzes quit and do something enjoyable. Repeat the process, its a mind trick , Knowing the longest you will have to go for is 15mins allows most anyone to tackle any job.
Anyone can do something for 15 mins. Sweep through a room with a laundry basket and pick up anything that doesn't belong, again 15 mins and poof you can stop.
Sure your doing this because someone is coming and its expected , but once you have it cleaned up it will make you feel happier.
Enjoy time with your Brother