The board of trustees may adopt rules concerning:
(1) notices, information, and reports the board of trustees requires from a subdivision that elects to participate in the retirement system;
(2) the time that a subdivision that elects to participate in the retirement system may begin participation and the actions that subdivision may take in anticipation of board approval under Section 842.001; and
(3) the powers and duties of a participating subdivision to adopt orders or resolutions, make elections, and otherwise exercise decision-making authority concerning the rights and benefits of the members and annuitants under a plan adopted or assumed by the subdivision.