In case you need a visa to go somewhere, you have to search for the embassy's Lebanese website. They usually have all the information there. Even some have the application process on their website.
If they don't, you'll find their phone number on the website, and you can just call and ask.
Note: If you are going to Europe, keep in mind that all EU countries require a schengen visa, rather than a visa to the country itself. A Schengen visa grants you access to all EU countries. To apply for it, you need to apply at the embassy of the country you will first arrive to. Let's say you were going to Paris, France, you go apply at the French embassy for the Schengen visa. This process will cost you money, I am not sure how much, but I remember it was something over a 100$.
I have personally only been to Jordan, Turkey and the US. Jordan and Turkey did not require a VISA, they just stamp on your passport once you arrive. Generally, you are granted a 6 months stay each time you enter.
For the US Visa, I had to apply through their website, which was not an easy process as they ask a lot of specific questions that sometimes demand some research. A good thing about it is that you can save it, and proceed with it later.
Example: They asked for a picture, so I had to go to a photographer, and ask him to take a picture for the US visa. You have to mention which VISA, because each Visa application differs in its required dimensions of the picture. For the US Visa, you are not allowed to smile in your picture, no glasses, your ears should be visible, and it has specific dimensions. I got it digitally, and uploaded the picture to my application.
Later on, I had to go to Credit Libanais and pay around a 120$ if I remember correctly. They give you an appointment for an interview. If you have a good excuse, you can call the embassy, and ask for an earlier appointment.
I have recently heard that this process changed, and that you get to pick your appointment after finishing the application process.
Later on, you go to your interview. Do NOT forget your documents, and especially the receipt that proves that you paid for your interview. I forgot my receipt, and had to drive back home to get it.
After you are done with your interview, you either get the VISA or you don't. If you do, they give you a date on when you should come back to pick up your passport. When you pick up your passport, you'll find out the details of your VISA (either 3 months, or 1 year, or 5 years, single entry or multiple entries etc.)
Once that is out of the way, it's time to buy your ticket.
I usually check these websites out, in incognito/private browsing mode (because some of them save your cookies and raise the prices next time you go in).
www.expedia.com
www.cheapoair.com
www.kayak.com
www.travelocity.com
Once you find some flights, check out their airlines' websites for the prices and compare. Let's say you found a flight with Air France, check their website and compare.
Some airlines are not listed on these websites, so it would be good to do some research for airlines that don't show up. They are usually cheaper.
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Usually, if you can avoid flying in high season (Near any holidays like Christmas, New Year's, Easter or at the beginning or end of Summer), you would be able to find cheaper flights. Also, buying your ticket early, means a cheaper price, as the cheaper prices tend to go fast.
While buying your seats, you'd want to either get a window seat or an aisle seat. Depending on what your preference is. If it is a long flight and you use the restrooms frequently, then get an aisle seat. If you want to be one of the first people out of the plane, also get an aisle seat. If you get cold, an aisle seat is for you. A window seat is a bit cooler than an aisle seat, in terms of temperature as you're closer to the window. If you do not want to be bothered by people getting up to go use the restrooms or stretch or socialise, take the window seat. If you want to sleep better, the window seat works great as well, as you can lean on the side of the window. Window seats are cozy as well.
I recommend you check out what type of plane you'll be in, and scout the seats that are available there to see which ones fit you best. Seats with no seats in front of them, means more legroom.
If you can manage to fly on an Airbus A380, I recommend it. It's a beautiful plane.
If you do not find good seats, as in you get middle seats, it's okay.
24 hours before your flight, call the airlines you are going to be flying with, and tell them you want to change your seats to either an aisle seat or window seat because you are fat, and you will be a bother in the middle. They will be really sweet and accommodating about it. Or make up some other logical excuse. That's guaranteed to work.
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I recommend you take some gum with you for the take off and landing. They are usually uncomfortable for the ears. I also recommend getting some entertainment for the flight. Try to wear comfortable clothing on the flight as well.
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I got a little carried away, but here are my 2 cents. I hope this helps.