The husband in the new house does not move the account, and the wife moves the account.

You can't. It must be both husband and wife. Legal couples can transfer their accounts through the way of husband and wife's refuge, and the specific procedures are handled at the police station where the house is purchased. The home address where both husband and wife take refuge should be the home address where the spouse belongs in this city. Therefore, Mr. Zheng must first move into his wife's current household registration through husband and wife's refuge, and then move the husband and wife's household registration into his legal residence, in order to realize the new household registration.