Complex sentence: Hyde was a member of the House Judiciary Committee from his freshman term, and its chairman from 1995 until 2001, during which time he served as the lead House "manager" during the President Clinton impeachment trial.
Split into simpler sentences: Hyde was a member of the House Judiciary Committee for his entire tenure in the House. He was its chairman from 1995 until 2001, during which time he served as the lead House "manager" during the President Clinton impeachment trial.