Hey Cissy:
I'm Kariem, I'm Egyptian but I'm currently living in Dubai.
Guess you could very easily get a flat in Zamalek through any real estate agency. Zamalek is one of the nicest neighbourhoods in Cairo, I really love it, I live in Heliopolis, If you couldn't find a flat in Zamalek, you could get one in Helipolis or Maadi especially Daglaa.
Wish you all the best with your flat hunting.