During the course of licensure, after the match, most states will require you to list any and all legal infractions you have incurred, big and small. As stated above, by far the most important rule to follow is to be honest. Isolated or sporadic misdemeanors not associated or construed to be associated with substance abuse are highly unlikely to be flagged by a state's medical board and may only require documentation. More serious offenses may buy you a trip for a personal interview or an appearance in front of a credentials committee, but would very rarely result in the withholding of a resident training license.
You should be prepared to furnish all documentation associated with your misdemeanors from wherever they happened and submit your licensure application early, as in April or early May so that there are no hold ups to prevent you from starting internship.