I'd never bribe my kids. If I wanted them to have water at the dinner table, then they would be drinking water and that's all there would be to it. And if there was any fuss, they would learn that Mom doesn't mess around. It would be a very long time before they saw the inside of a restaurant again. that being said, I don't see where taking money from your pocket and giving it to your kid, rather than the restaurant, is saving YOU anything.
As far as unorthodox tips: I rarely use paper towels for cleaning. I have a basket of assorted rags (old towels, t-shirts and sheets) that serve my purposes for 98% of the household chores. Just like my mother and grandmothers before her. Sometimes, old-school is best. Paper towels are reserved for only the messiest of jobs and for my husband who cannot grasp the concept of using a rag. At $1.50/roll and 1-2 rolls per week, it's not a huge savings. But in a year, I save about $100.