My take is that they essentially refer to the same elementary component (the inductor), but in a different configuration or called differently in different applications (meaning they can be optimised differently). I can't tell for reactor VS inductor as I rarely saw the former but I suspect they are exactly the same thing as they should both bring a certain amount of reactance to the signals proportional to said signals frequencies (the imaginary term of impedance, resistance being the real term). As for the chokes, they usually are two inductors packaged together in a 4 terminal component (wound in opposite directions on the same core) that you can use directly on your lines to block high frequency and common mode AC.
The picture illustrates inductors (2 terminals) and chokes (4 terminals)
Note: I'm not a fan of the term reactor, as a reactor could also be a capacitor. It can bring the same amounts of reactance as an inductor, but at different frequencies.