You can fly into Cyprus either via Istanbul, Turkey or Larnaca Cyprus:

Via Istanbul, Turkey	You would fly to Istanbul Airport (IST) then on to Ercan Airport (ECN) (which is on the Turkish side of Cyprus) then take a taxi. The only airline that can you can book all the way to Ercan Airport is on Turkish Airlines. If you fly on any other airline you will need to book a flight from Istanbul Airport (IST) to Ercan Airport (ECN) using one of the following airlines: Atlas jet (cheapest about $100 Round-trip) Turkish Airlines Cyprus Turkish Airlines Taxi Services If you arrive at Ercan airport, you can take any taxi by telling them you want to go to Lefke to Visit Shaykh Nazim. They all know how to get there even if they don't they will ask one of the other taxi drivers and they will figure it out. The other option is to contact one of the Mureeds that perform taxi service for Mureeds for a fee. Please see the list below.
Via Larnaca, Cyprus	You would fly to Larnaca Airport (LCA) then take a taxi (See below) Taxi Services If you arrive at Larnaca airport, its best to use one of the mureeds who do the taxi service listed below since the Greek Cypriot taxi services can only take you up to the border of Turkish Cyprus.
Taxi Services by Mureeds	The best is to SMS (text) them your flight arrival info and then call them to confirm whether or not they are available. It's best also to confirm two days prior to your departure by calling them as well. Osman Charges 60 Euros for one or two passengers. (Max 2 passengers since he has a small car) His phone numbers: Turkish side: +905338321394 Greek side: +35799950302 Omar He charges 80 euros for up to 6 or 7. His phone numbers: Turkish side: +905338752842 Greek side: +35799398469 Eyyub He charges 80 euros for up to the maximum his car can take. His phone number: Turkish side: +905428746021 Abdul Hadi Shakir He charges 60 Euros. He has a 7 Seater Van. He also operates a guest house charging 15 Euros per night His phone numbers: Turkish side: +905338777770 Greek side: +35799751039