Can anyone tell me the best way to book travel to Cairo roundtrip or one way? Is it safe to land in DOH Hamad airport for Americas?
You can check current travel advisories for any country on the US State Dept website: https://travel.state.gov/content/travel/en/traveladvisories/traveladvisories/qatar-travel-advisory.html
The best way to and from Cairo depends on your starting point. I suggest looking at Google Flights to start.
To find flights, go to Google Flights.
If landing in Cairo, arrange for a driver service to meet you in the airport. You will avoid having to deal with the many aggressive touts that hang out there.