The Ben-Gurion International Airport is not far from Tel-Aviv and only about 40 min from Jerusalem. It is easy to get to/from by train, taxi or local buses.
When departing remember to get to the airport ahead of time do to the extra security measurements.
This is one of the most beautiful airports i have been in. The departure area is so comfortable and lined with bars, restaurants and duty free stores. Check out the website as it is filled with loads of useful information.
Ben Gurion, Israel's main airport, is in Tel Aviv. Security is very high here, so be prepared for searching looks and some questions when your passport and visa are checked on arrival. There was some interest about my surname - they picked up straight away that it was not British. When I told them my Dad was Indian I was grilled for a few minutes on where he was born, how long had he lived in the UK, what was my business in Israel etc... after handing over my letter from the Kubbutz Representatives in London however I was waved on straight away.
On leaving Ben Gurion I was assigned a young army officer who went through my luggage literally piece by piece. This is standard practise. Just let them get on with it; causing a fuss just ensures the search will go n longer than neccessary.
By plane. Watch out, the security is very strictly. Questions will by asked by security like: why are you here, what relationship do you have with that friend you brought along, where are you going to, where will you stay, do you have any friends here bla bla bla. Very irritating, but you'd better co-operate. They also might inspect your bags.