The Council shall appoint, by majority vote of all the members elected thereto, an officer of the City who shall have the title of City Manager. The City Manager shall be chosen by the Council solely on the basis of his executive and administrative qualifications with special reference to his actual experience in or his knowledge of accepted practice in respect to the duties of his office as hereinafter set forth. At the time of his appointment, the Manager need not be a resident of the City or State, but, during his tenure of office, he shall reside within the City or within one (1) mile of the corporate limits thereof, provided that suitable residential accommodations are not available within the City limits. No Council member or member of the Charter Commission shall be eligible for appointment as City Manager or head of a Department during the term for which he has been elected or for two (2) years thereafter.