Well, first you need to sand it and prep it...a lot. That gives the paint/primer a good rough surface to stick to.
After sanding it and cleaning it, you need to use a primer. Spray a few coats of that on, sand it down, and then use your color coat. Then you will have to sand a lot (including wet sanding) and apply many more coats.
Then, steel wool the final color coat, and then clear coat it.
You want a plastic paint, but on my plastics, I just used any old rattle can.
There should be a paint guide in the install section that will explain it a lot better than me.
And no, if you do it right, the paint shouldn't chip off.
99% of paint work is prepping.