Jumps mean that the piece can jump over other pieces. If jumping is not allowed and a knight-move is allowed, then both of the squares over which you jump must be free.
Pieces:
Herald: moves 1 square diagonal or jumps two squares diagonal. When reaching the last row, the herald can move one square orthogonal (to change colour of the squares where the herald is moving on).

Watch-tower: Move one square horizontal/vertical or jumps two square s horizontal/vertical.

Baron: Jums two squares, horizontal, vertical or diagonal or moves like a knight.

Guards: Moves like a combination of a Watch-tower and Herald.

General: Moves as Veteran or Guard (this is a VERY strong piece. in one move it can reach 24 squares).

Minister: As amazon, but the minister can NOT jump.

Grand duke: As queen, but it can also jump two squares horizontal, vertical or diagonal.

Elephant (one of the most annoying pieces). Moves one or two squares horizontal, vertical or diagonal. If the first square on the way of the elephant is occupied by an enemy piece, the elephant can take it and walk further to the second square. Yes indeed the elephant is able to take two pieces in the same move.

Marshall: Rook+Elephant (note that the elephant property is only allowed when doing the real elephant move: two squares)

Maharadja: Queen+Elephant.

This is for now.