A Department of Law, a Department of Finance, a Department of Public Safety, and a Department of Public Service are hereby established, and the Council shall provide by ordinance for the organization thereof. The Council may establish by ordinance new departments or divisions thereof. With the exception of the Department of Law and the Department of Finance, the Council may combine or abolish existing departments and divisions as it may deem necessary and may authorize one person to be the head of two or more departments or divisions. The Mayor may act as the Director of the Department of Public Safety and/or the Department of Public Service.