Dear T. (you have a great name! :) )
here is what I responded about 2 months ago, to one mommy:
(it comes from my experience of raising two sons):
Actively engage them into all cleaning and dish washing and such things: when I needed to wash floors, we turned the house into a pirate ship, and spilled some water on the floor, as if the huge waves washed the deck over, and we took turns who is the captain and the captain gave out orders (not only yuou alone do it!) how to clean up the floor, how to wash, what corners were missed and what else can be done so that all is sparkling. The sailors, under the captains' guidance (you in some cases) can also have a word to POINT OUT TO ZTHE CAPTAIN what he missed while ordering around, and of course the captain must HELP the sailors, not only just being a chief commander, as if he does not help, he loses the authority of the sailors and they won't obey him...
when I needed to clean the room up, all the surfaces full of eee... whatever, you know, then I did it thuS: absolutely EVERYTHING from all over the room, goes into one huge pile in the middle of the room, on the carpet (floor): papers, toys, books, dishes, uneaten snacks, EVERYTHING. Everybody helped to do it, ans it was fun as you do not need to apply your brain into such cleaning, just all from everywhere goes into one pile. Be careful with liquids and chocolate/ketchup only, as you do not want it all wet or stained. Now, what do you see?
A clean room!!!!! One task is immediately accomplished. What else do you see? Now, the next part stARTS: THIS IS CALLED A "TREASURE HUNT": you can make it more fun if you take turns, and one at a time, you close your eyes, and pick ONE OBJECT from the pile of 'treasures', and decide (together or alone) where would be the best place for this object. garbage? Fine, run take it to the bin. Upper shelf? Great, climb up and put it there... and so on. If your 'crew' had a lot of energy, make then run all over the house to place things up one by one. If you all get tired, you can make smaller piles around in the circle: garbage pile; bedroom pile, kitchen pile, and once all sorted out, put all the bedroom pile into a plastic baggie, walk over there, and take thing one by one, placing them into places.
This way, your house is clean, you teach the kids to be caring, neat, happy, communicative, creative, and all are happy.