Although all of the above answers are close to the money, they're not quite right (no offence intended)
This is the correct way to spray a plastic part.. If your grill is brand new, the chances are that it will already have a primer coat already on it, sometimes the primer is the same colour as the plastic! check by looking at the front of the grill, then the reverse, the back should look shiney, this means that the back has no primer on it.. which is OK
If you've established that your grill IS primed, this is the next step...
DO NOT use wet/dry to rub down, this will remove the one single coat of primer in no time at all! Instead, gently rub the primed surface with a grey scotchbrite abrasive pad (Halfords) and some soapy water, your only lightly keying the surface so that the paint sticks to the primer!
Dry the grill, then degrease, and apply the basecoat (colour) in light thin coats, allow plenty of time to get the base on, its not a race! allow to dry for 10-15mins then apply the clearcoat, 4 coats should do it, allowing 2-3mins between coats, longer on a cold day!
If your grill came without primer, it is essential that you use the correct type of primer for that type of plastic!! (Halfords should know!) otherwise your paint WILL flake off!
what you need
Plastic primer (only if your grill isnt primed)
Grey scotchbrite abrasive pad
Degreaseing solution
1 aerosol of basecoat (colour)
1 aerosol of clearcoat
your colour code is located in the boot floor, on a paper sticker, it should read something like LN7Y
Plastic parts can be very difficult to paint! especially as manufactures are swithcing over to water based primers, that dont always take too kindly to haveing solvent based products applied over them

hope this helps
Tom