Bail, Bail Bonds - As introduced, removes the requirement that a court enter into state or federal databases a bench warrant or a capias issued due to a defendant's failure to appear for a misdemeanor that is violent or sexual in nature or a felony that is not violent or sexual in nature; extends the time period in which the court must enter bench warrant or capias for failure to appear on a felony from three to 10 business days; authorizes, rather than requires, the court to relieve the surety of liability for an undertaking if the defendant has not been placed on the available state or federal list or databases. - Amends TCA Title 39 and Title 40.