If it refers to a credit card, it doesn't need to be replaced, because all the credit cards of China Merchants Bank are managed by the card center in a unified way, and there is no difference in attribution. There is no need for off-site handling fees for cash withdrawal or repayment. Just go directly to China Merchants Bank in the new city to withdraw cash or repay it.
If it refers to a debit card, this does distinguish the place of ownership, but it cannot be changed directly. When you arrive in a new city, you can apply for a new debit card at the local China Merchants Bank. If the original card has some services, it can be merged when applying for a new card.