Direct flights from Zurich to Sharm el Sheikh can be booked through the airline Germania Schweiz. The flight takes approximately 4.5 hours.
In Sharm el Sheikh you have the possibility to book a rental car. Through the provider Sixt this costs about 170 Euros per week. The trips along the coast of the Red Sea and the flexibility you get are a big advantage of having your own car. For one week you will get along with a full tank, which costs about 17.00 Swiss Francs.
Otherwise, you can of course also travel by taxi or with transport options organised directly by your tour operator or hotel.