To apply for a Lloyds Bank debit card, visit the Lloyds Bank website or app and log in to your account. Navigate to the debit card section and select the option to apply for a new card. Follow the prompts to provide any necessary personal information and identification details. Once the application is completed, review it for accuracy and submit your request. You'll receive notifications regarding the status of your application, and if approved, your new debit card will be sent to you by mail.