To master chess, you need more than just knowing the pieces and their moves - you need to be able to make notations of your moves. To make a short notation, write the piece name and square it moved to; for example, Bd2 for bishop on d2. Pawns don't need the piece name, just the square; e.g. g5. Show your kids how to draw lines to the board for the moves given.
Teach your child chess manners in addition to table and social ones. Chess has clear rules and etiquette which must be followed for a proper game. Review this worksheet with your kid and discuss the pictures that show inappropriate behaviours. This will help them understand how to play the game correctly and with good manners.
Teach your child the rules of castling: no castling if the king is under attack or will move onto an attacked square, or cross an attack line. To prepare for a game of chess, help your child complete the exercise of identifying when the king can castle – check the pictures.
There is no such thing as too much sharpening of skills. Encourage your child to learn more about chess technicalities with this simple worksheet. It shows them how a bishop moves: along diagonals any number of squares, but it can't jump over other pieces.