I've got 1, working on 2. Create the ceremony of cleaning *with* you kids. Associate it with getting ready for the day and going to bed. Show them through leadership, make it a team effort, then delegate the responsibility when they are ready. This will make them feel important.
Kids not cleaning is a symptom of parents not illustrating (via their behavior) that they value cleanliness. You need to make positive incentives and mime the behavior you want to see. If you make it seem like a chore, like you're annoyed, like it's a stressor, then they will be repelled from it as an activity.
Always make a fun/important family routine and involve them until they feel ready enough to be "in charge". This technique will come in handy over and over as you steward them through life. I learned it from the Montessori method. https://www.youtube.com/watch?v=BaaQYHbZgZ4