Pawn
Moves forward one square, captures diagonally. First move can advance two squares.
Rook
Moves any number of squares vertically or horizontally.
Knight
Moves in an L-shape: two squares in one direction, then one square perpendicular. Can jump over pieces.
Bishop
Moves any number of squares diagonally.
Queen
Moves any number of squares in any direction: vertically, horizontally, or diagonally.
King
Moves one square in any direction. The most important piece—protect it at all costs!