Tex. Local Government Code § 143.354

(a) The public employer in accordance with this section may recognize a police employee group as the sole and exclusive bargaining agent for all of the police officers in the municipality, excluding the department head and assistant department heads, unless recognition of the police employee group is withdrawn by a majority of those police officers, if the employee group submits a petition signed by 40 percent of:

(1) the number of police officers in the municipality who voted in the last election held under Section 143.360 before the petition is submitted, excluding the head of the department and assistant department heads in the rank or classification immediately below that of the department head; or

(2) the paid 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, if an election under Section 143.360 has not been held in the municipality.

(b) A petition submitted under Subsection (a) must clearly show on each page the name of the police employee group circulating the petition. A police officer who signs a petition submitted under Subsection (a) may not be counted towards the 40 percent requirement under that subsection unless that officer's printed name and payroll number and the date of the signature are included on the petition. The petition must be submitted to the municipal secretary not later than the 60th day after the first date on which a police officer signs the petition.

(c) Within the 30 days after the date the petition is submitted, the municipal secretary shall verify the signatures on the petition and, if the petition complies with this section, call for the election. The election shall be conducted within 45 days after the date on which the municipal secretary calls for the election.

(d) An election required by this section shall be 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 police employee group shall pay the costs of the election, except that if two or more police employee groups seeking recognition as the bargaining agent submit petitions signed by a majority of the police officers eligible to sign the petition, the police employee groups shall share equally the costs of the election. A police employee group must make payments required by this subsection not later than the 10th day before the date of the election.

(e) The public employer's chief executive officer shall designate a team to represent the public employer as its sole and exclusive bargaining agent for issues related to the police department.