Once we've covered Cairo, it would be wise to travel south to look at the awesome monuments in Luxor and Aswan. The best way to reach Luxor is by Train from Cairo. The train is very comfortable and takes about 12 hours to reach Luxor. But the timing is almost unpredictable. They almost stopped releasing a schedule for the trains. 

The city is build around the banks of Nile and offers a multitude of options to enjoy the beauty of this massive river. A boat trip on the Nile at sunset is something one should not miss.

Once in Luxor, there are a couple of places that may interest you. Luxor is probably the enticing place after the Pyramids.

    Temple of Karnak
    Luxor Temple
    Valley of the Kings
    Colossi of Memnon
    Deir El-Bahari
    Luxor Museum

Precautions
Just like in Cairo, be very careful with your money and your water. 
The locals almost survive on tips and would require a decent tip for even the smallest of favors. So, carry loose change if possible. Convert about 50 dollars into egyptian pounds and use it for tips.