>>You can drag a class from one VCX and drop it into another.
>>For objects, you can probably use copy and paste.
>
>Does that mean, I'll have to recreate it manually in the other VCX, add all properties and methods, and cut & paste all methods content?
No, if you drag one class from one VCX to another it will come with all-included (methods, properties, and code)

If, on the other side you want to do the same thing with an object (i.e. an instance of a class) then you will need to copy the object instanciated in one class and paste it in another class. Copying the object will bring code inside all its methods.