Old City of Jerusalem (Temple Mount).
Day 1: Old City of Jerusalem.
Day 2: Old City of Jerusalem and Modern Jerusalem.
Day 3: Outskirts of Jerusalem, including Bethlehem.
Three-day itinerary plus
Day 4: Dead Sea, Masada, and Jericho.
Day 5: Tel Aviv (downtown).
Day 6: Up the coast through Caesarea and Haifa to Acre.
Day 7: Exploring Acre
Seven-day itinerary plus
Day 8: Golan Heights.
Day 9: Safed, Tiberias, Sea of Galilee
Day 10: Rest at the Sea of Galilee
Day 11: Travel to Eilat (Red Sea)
Day 12: Snorkel at Eilat
Day 13: Travel to Petra (Jordan) and stay overnight
Day 14: Back to Eilat from Petra
Fourteen-day itinerary plus add a week in Cairo.