of those 3, cc particle world is the only one that is 3d. so the particles will react to 3d comp camera movements.
cc particle system is like the little brother to particle world. it has a lot of similar settings, but it is not 3d, so it won't react to comp camera movements.
particle playground is a also a 2d particle system, but it has very different controls from the other two... it actually has 3 different producers and is the only one that has settings to have particle react to each other. it's also a compound effect, meaning you control particles with rgb values from other layers (layer maps), which has a bit more of a learning curve to it. you can do a lot with particle playground, but it will take a while to learn how to use/control it.
the other 2 are easier to use, but particle effects all have a reasonably steep learning curve -- there's just a lot of setting there...