Java, two questions: Interfaces and methods like method().method()

My Java's a little rusty, but I'll give it a go.

An Interface provides a common framework for a set of objects which can be logically grouped, but where the high-level grouping isn't a specific object in itself.
When a class implements an interface, it is telling the outside world that they can expect the methods of that interface to be available to them.

OOP is always easiest to explain using real-world objects. Imagine a vehicle. A vehicle is a high-level construct. All vehicles have certain things in common - number of wheels, type of engine, etc. However, you can't use a "vehicle". You need to be more specific before you can use it, e.g. a car.

So if you create a "Vehicle" interface class, and then use that class to create all the different child classes, e.g. car, truck, bike, train, then someone who comes along knows that the object inherits/implements type "Vehicle", so the getNumOfWheels() method will work, no matter what type of vehicle it actually is.

To take a more realistic example, imagine that your program receives an array of different vehicle objects. Each object in the array could be a car, a truck, a bike or any other implementation of the "vehicle" interface. You know then that you don't even need to check what type of object each item in the array is - you have a common set of methods available to you.

If the interface wasn't created, and you received an array of such objects, how would you know what method to call to get the number of wheels, number of passengers, type of engine, etc. Each object could have a range of different methods - you wouldn't have a clue what each one looked like.

I hope that's explained well, it's a tough one to explain.

I've seen what I think were methods written like this: x().y(). I don't understand this. What exactly is going on there? I thought methods should be just written like methodName()? Is this two methods together? Also, things like System.out.println(). I understand this is a static method, but why isn't it just System.println()?

This is more shorthand than anything.

If I write
myObject.methodA().methodX();

This is the same as writing
Object temp = myObject.methodA();
temp.methodX();

Each method in the chain is evaluated in turn, starting left-to-right.

In the case of System.out, System is just another class within the language. out is a pubic Object within that class (some sort of BufferedWriter IIRC).
So when you call System.out, you are referring to the "out" object in the System class. When you call System.out.print(), you are calling the print() method, of the out object in the System class.