LaCosta was raised in North Plainfield, New Jersey by Paul F. LaCosta, a plumbing contractor, and Lucy, a bookkeeper, both now deceased. He has three sisters and three brothers.

LaCosta is married to Vincenzina Cavaleri. They have four combined adult children, a son-in-law and two grandchildren: daughter Guinevere, married to Benjamin Giles, and their children, Grant and London; daughters Angelique and Kristiana and son, Michael.

They attend church weekly, co-lead home group and are involved in missions, support of the nation of Israel and regional ministry.

They reside in upstate New York overlooking the scenic and historic Hudson River.