Pawns like to be in groups or chains.
Knights like supported central squares, especially if they can't be chased off by pawns
Bishops like open diagonals
Rooks like open files, and to reach the seventh rank
Queens like to be in the centre, but hate being bothered, so wait until some or most other pieces have been swapped off
Kings like to be safe in the castle, but once the Queens are off, they can come out and join in the attack