You can clear your Utah record. Utah law lets you expunge certain arrest records and certain convictions under Utah Code § 77-40a-101 et seq. Some records clear automatically through the Clean Slate process, while others require a petition filed with the court that handled the case.
Utah restricts you to expungement of just two felonies or three, four, or five misdemeanors depending on the misdemeanor class — confirm the cap that applies to your charge classes before filing.