The core staff positions of the urban county council shall consist of one (1) position of council administrator and such other positions as deemed necessary by the council to support its full council, committee and representative duties and responsibilities. The core staff shall serve a term of four (4) years corresponding with the terms of at-large council members. The council may reappoint any person occupying a core staff position for additional four-year terms corresponding with the terms of the at-large council members. The term of the appointment for the core staff shall terminate on December 31, 2026. The core staff shall handle all general and centralized research, filing, records, budget analysis, and payroll, and all other matters for the legislative branch except those matters handled by the aides to council, the council clerk's office, and the citizens' advocate office. The core staff shall provide, maintain, and update, as necessary, the files of the council committees and shall monitor and store all official council work session and committee records, as appropriate, and research and utilize the best available technology, such as electronic imaging/archiving, to the extent feasible to maximize storage capacity and accessibility of the records to the public.