Moves and Rules in Chess
Each of the 6 different kinds of pieces moves differently. Pieces cannot move through other pieces (though the knight can jump over other pieces), and can never move onto a square with one of their own pieces. However, they can be moved to take the place of an opponent's piece which is then captured. Pieces are generally moved into positions where they can capture other pieces (by landing on their square and then replacing them), defend their own pieces in case of capture, or control important squares in the game.
The Queen
The Queen is the most powerful piece in Chess.
If moved, she can do it in any one straight direction: Forward, backward, sideways, or diagonally, as far as possible.

The Queen can move as far as possible as long as she does not move through any of her own pieces. And, like with all pieces, if the Queen captures an opponent's piece, her move is over.

The Rook
The Rook may move as far as it wants, but only forward, backward, and to the sides.

And, like all pieces, the Rook can never move onto a square with one of its own pieces. However, it can be moved to take the place of an opponent's piece and capture it.

Let's continue with the Moves of the Bishop and the Knight
Moves of the Bishop and the Knight