As an existing Eastern Bank customer, it's easy for you to open a new checking account using Eastern Mobile & Online Banking. Login to your online banking account to get started. Once you're logged in, please click on 'Open a New Account' to fast-track your checking account application! Login Not enrolled in online banking? Enroll today! Once you're logged in, please click on 'Open a New Account' to fast-track your checking account application! Enroll Applying for a joint account? If you'd like to apply for a joint account, please call 1-800-EASTERN (327-8376).