I flew at least 100 times in the last 5 years or so, so I believe I'm experienced as a passenger. Unrelated, I know, but I know few people who like flying also like trains, and viceversa - I'm one of the few who doesn't qualify in that lot: although I like flying a lot, I love trains too.
The most uncomfortable flight I've done (= with the biggest amount of random "shakes", moves, outside turbulence areas, seemingly with no cause) was with a small plane, the only propeller plane I've ever been into (in the US, between San Francisco and LA). However, as yours is probably not going to be like that (or is it?), you're not likely to have such an experience It's not really that big of a deal anyway.
To take the stress off, anything from a drink to a book or a game will work great, IMHO. They have already been suggested though.
But to say more:
Here's the thing - I'm sure you already know the statistics. Therefore, anecdotal evidence is the only thing I can provide. I've flown countless times. In my profession, you need to travel - it's the only way to do it. So that also means that most people I know are in the same situation as me. Combined, me and my friends from my "branch of work" have
literally tens of thousands of flights under our collective belts (yes, I actually took the time to approximate it and I'm serious). I haven't heard of anyone having any trouble with actual consequences during a flight. I've heard tons of stories of delayed, canceled flights, of terrible food, drinks, or any such things. My advice is not to worry - confidence comes with experience. If, for some reason, later in your life you'll need to fly more often, with many different kinds of planes, you will see how amazingly easy it will become.
