Nikon D3200. Neewer external flash?

Hi, so I'm pretty new with photography but I've had a nikon d3200 for a while now and I just purchased a neewer TT560 external flash… I mounted it on top of my camera but now I'm not sure of how to sync it… If anyone can instruct me on how to sync the flash or make it go off at the time I press the camera shutter, that would be great!

Turn camera off
Mount flash with batteries installed.
Turn flash on, wait for charged indicator
Put camera in any of the PASM modes
Turn camera on
Take photos, waiting for flash to recharge as necessary.

Ideally for control of lighting direction and to be able to add light modifiers, use the flash off camera.

I use RF602 radio triggers - about £20 a set.