(a) Cases may be assigned by local administrative rules, by a blanket written order, or on a case-by-case basis. Each district court and county court at law may use any of the methods to assign cases to the criminal law magistrate court.
(b) The local administrative rules, a blanket order of assignment, or a specific order of assignment may limit the powers of a criminal law magistrate court or a judge of that court.
(c) Unless limited as provided by Subsection (b), the criminal law magistrate court and a judge of that court may perform all acts and take all measures necessary and proper to exercise the jurisdiction granted in this subchapter in relation to a case assigned under this subchapter.
(d) A case assigned under this subchapter to the criminal law magistrate court from a district court, a county court at law, or a justice court remains on the docket of the assigning court and in the assigning court's jurisdiction.