Here's an ideal itinerary for 5 days in Cairo:

Day 1: Arrival and Pyramids of Giza

• Arrive at Cairo International Airport and check into your hotel.
• Head straight to the Pyramids of Giza, one of the Seven Wonders of the Ancient World. You can explore the Great Pyramid of Khufu, the Pyramid of Khafre, and the Pyramid of Menkaure. Don't forget to take a camel ride around the pyramids!
• In the evening, enjoy a traditional Egyptian dinner with live music and belly dancing.

Day 2: Egyptian Museum and Islamic Cairo

• Start your day by visiting the Egyptian Museum, which houses over 120,000 ancient artifacts including the treasures of Tutankhamun.
• After lunch, head to Islamic Cairo and visit the Citadel of Salah El-Din, which offers stunning views of the city. You can also explore the Alabaster Mosque of Muhammad Ali and the Khan El-Khalili bazaar, where you can shop for souvenirs and try some local street food.

Day 3: Coptic Cairo and Nile River Cruise

• Today, explore the historic district of Coptic Cairo, which is home to several ancient churches including the Hanging Church and the Church of St. George.
• In the evening, take a relaxing Nile River cruise and enjoy a delicious dinner while taking in the beautiful views of the city skyline.

Day 4: Saqqara and Memphis

• Take a day trip to Saqqara and Memphis, which are located just outside of Cairo. Saqqara is home to the Step Pyramid of Djoser, the oldest pyramid in Egypt, and Memphis was the capital of ancient Egypt and has several impressive ruins including the statue of Ramses II.
• Return to Cairo in the evening and enjoy a night out in the city.

Day 5: Old Cairo and Departure

• On your last day in Cairo, visit Old Cairo and explore the Ben Ezra Synagogue, the oldest synagogue in Egypt, and the Amr Ibn Al-As Mosque, the first mosque built in Africa.
• After lunch, head back to your hotel to pack up and catch your flight home.

I hope this itinerary helps you plan your trip to Cairo!