Lucky Mom,
Under Kentucky law passed in 1992, judges, upon request, must expunge misdemeanor convictions five years after completion of the person's sentence if the applicant has no other criminal violations within that time. See Ky. Rev. Stat. Ann. § 431.078.  Under § 431.078(1), “any person who has been convicted of a misdemeanor or a violation, or a series of misdemeanors or violations arising from a single incident, may petition the court in which he was convicted for expungement of his misdemeanor or violation record.” A person must be informed of this “right” at the time of adjudication.
The only felony convictions eligible for expungement are Class D drug possession convictions.
I hope that this helps you out with some of the information you are looking for. Without greater detail regarding what you rap sheet may show it is hard to provide you with additional information.