In a cathode ray tube where do the particles originate towards what Do they move?

The particles originate from the Cathode in the neck of the tube. They are liberated by a heater. The electrons thus liberated are attracted by the Anode, by applying a high voltage to it.

In a CRT there are several anodes, the largest and biggest is formed by a coating inside the tube towards the screen. This attracts and accelerates the electrons in a stream of particles known as a 'cathode ray'. They carry on in a straight line, once accelerated, until they hit the screen and cause a phosphor coating to glow, on the inside surface of the screen.

The cathode ray can be bent from it's course, by using electromagnets arranged around the neck of the tube.