Tex. Local Government Code § 143.304

(a) The public employer may recognize an association that submits a petition signed by a majority of the paid fire fighters or police officers in the municipality, excluding the head of the department and assistant department heads in the rank or classification immediately below that of the department head, as the sole and exclusive bargaining agent for all of the covered fire fighters or police officers unless recognition of the association is withdrawn by a majority of the covered fire fighters or police officers.

(b) A question of whether an association is the majority representative of the covered fire fighters or police officers shall be resolved by a fair election conducted according to procedures agreed on by the parties. If the parties are unable to agree on election procedures, either party may request the American Arbitration Association to conduct the election and to certify the results. Certification of the results of an election under this subsection resolves the question concerning representation. The association shall pay the costs of the election, except that if two or more associations seeking recognition as the bargaining agent submit petitions signed by a majority of the covered fire fighters or police officers, the associations shall share equally the costs of the election.

(c) The public employer's manager or chief executive and the police chief or fire chief, as appropriate, shall designate a team to represent the public employer as its sole and exclusive bargaining agent for issues related to the fire department and a separate team to represent the public employer as its sole and exclusive bargaining agent for issues related to the police department.