There are 6 pieces in chess. These pieces are called: Pawn, Knight, Bishop, Rook, Queen, and King. Each of the pieces has it's special movement when applied in every chess game. Each piece moves as follows:
Pawns: Only move forward and not backward. Pawns can only go diagonally one piece diagonally left or right to capture a piece only for that reason. They go on the second row of the chessboard in front of the rooks, bishops, knights, queen, and king.
Knights: Move at an L shape. It works in two different ways. Two spaces in any direction except diagonal, then one in any direction as long as it is maneuvering in an L shape. They go next to the Rooks and Bishops on the both sides of the chessboard.
Bishops: Move in diagonally direction, not like the rook. You have bishops that can travel in the light or dark squares separately. They go next to the knights and the queen on the left sides and next to the king and the knights on the right side.
Rooks: Move in a plus shape not diagonally. You can move the rooks either short, long, or moderate term. They go in the corner of the chessboard.
Queens: Combining the movements of the bishops and rooks, the queen can move in all directions as many squares as you want either short, long, or moderate term. They go next to the Bishop and the king on the left side.
Kings: The piece that you need to protect in the game. If the king is checkmate, you simply lose the game. It is very important to protect your king and apply the strategies, tactics, plans, variations, openings, closed, semi-open/closed, traps, and defense in all of your games so that it is easier for you to navigate. Unlike the queen, the king can move anywhere like the queen but only one square in any direction. They go next to the queen and bishop on the back center of the board.
More specific reference sheet towards how each piece in chess moves:
Here is a sample setup of the chessboard: