promote

verb

1. contribute to the progress or growth of"I am promoting the use of computers in the classroom"
2. give a promotion to or assign to a higher position"John was kicked upstairs when a replacement was hired"
3. make publicity for; try to sell (a product)"The salesman is aggressively pushing the new computer model"
4. be changed for a superior chess or checker piece
5. change a pawn for a better piece by advancing it to the eighth row, or change a checker piece for a more valuable piece by moving it to the row closest to your opponent