This is one virtue that I struggled to define adequately. But what I came up with was that sincerity means truth in word and act. That when you say something that that is what you mean and follow through. It goes far beyond just honesty and good follow through.
Rather it is knowing that you can do what you say and not saying what you know you can't do. I know that I keep falling back on the old cliche. But it continues to be true. Lead by example. If your kids know that you mean what you say then they will eventually seek to emulate that in their own life.
Doing what you say can be with them, either in discipline or in reward. Or it can be your interaction with the world at large.
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