After Herod’s death in 4 BCE, the Roman Emperor Augustus divided his kingdom among Herod’s three sons. Archelaus was appointed ethnarch (“Ruler of the Nation”) over Judaea, Idumaea (the original homeland of his family), and Samaria. “When Herod (the Great) was dead, behold an angel of the Lord appeareth in a dream of Joseph in Egypt ... But when he heard that Archelaus did reign in Judaea in the room of his father Herod, he was afraid to go thither notwithstanding, being warned by God in a dream, he turned aside into the parts of Galilee ... And he came and dwelt in a city called Nazareth” (Matthew 2:19-23)
Herod Antipas received purely Jewish but widely separated area - Galilee and Peraea (Jewish Transjordan). And the third son, Herod Philip, was given predominantly non-Jewish settlements in Syria. This was reflected in their coinage - no living things appear on the coins of Archelaus and Antipas, but Philip became the first Jewish ruler to place a portrait (of his benfactor, the Roman Emperor Augustus) on his coins.
The most common coins of Herod Archelaus (4 BCE - 6 CE) are small prutahs featuring a bunch of grapes and a crested helmet with his name and title spelled out in Greek, and a ship’s prow and wreath with his name and title abbreviated.
Grapes & helmet on coin of Herod Archelaus (Bromberg 28)
Prow & wreath on prutah of Herod Archelaus (Mesh2 Pl.5, 5a)
A scarce double prutah of Herod Archelaus pictures a galley ship and conjoined double cornucopiae, inscribed in Greek with his name and title.
Galley ship and double cornucopiae on double prutah of Herod Archelaus (Bromberg 27)
Antipas plays a key role in the New Testament, adding to the desirability of his coins: “And King Herod (Antipas) heard of him (for his name was spread abroad) and he said, that John the Baptist was risen from the dead” (Mark 6:14). The rare coins of Herod Antipas (4 BCE - 39 CE) generally feature an upright palm branch surrounded by the Greek inscription “Herod the Tetrarch.” The name of the city - Tiberias (named by Antipas after the Roman Emperor Tiberius) - where the coins were minted, is contained within a wreath on the reverse.
Palm branch and wreath on typical coin of Herod Antipas (Herbst 1139)
The coins of Herod Philip II (4 BCE - 34 CE) are generally of middle bronze size, depicting a portrait of the Roman Emperor on the obverse and the facade of a tetrastyle (four columns) temple on the reverse; they are all dated according to the Emperor’s regnal year.
Emperor Augustus and temple on coin of Herod Philip II, 8/9 CE (Herbst 1152)
Sources: The Handbook of Biblical Numismatics