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Contact: post@fc.hp.com
Mine were gifts, but I think they cost around $25-30 a pair.
This is probably more than you wanted to know but...
Chrysler makes some flat rubber flaps with the neon logo on them, but they have some molded splash guards too. They are molded to fit the neon body shape. That is what I got for Christmas. The fronts are part number 82300550. The rears are 82300551.
They ( fronts and rears ) have been on long enough now, that I know they are pretty effective in keeping off mud, slush and dirt. They are some kind of black, thermoplastic rubber and I don't think they can be painted very well. They look fair to good on a white coupe.
The following steps are what I did. Don't get hurt, use common sense in jacking and supporting the car. If it falls on you, it can kill you or remove important parts of your body.
FRONT SPLASH GUARDS
Below I have described two installation methods.
Be aware that the instructions and hardware contents are not correct for later model neons, or at least not for our 96 ACR.
The differences have to do with the instructions being for three fastener mountings per splash guard, and you probably have four. No matter, though. They pack enough hardware and it is not rocket science to make do with what they send. For example, the required tool list is wrong, the Torx drive fasteners ( T-25 ) already in your neon can probably be loosened with a tight fitting hex wrench anyway.
By all means read and use their instructions as guidelines, it will give you a clue. You may need to re-use the old hardware on the lower holes because the supplied hardware will pull through the holes in the fender liner and splash guards and you won't get a firm mounting.
Generic Instructions For Front Splash Guards:
Existing Hardware Instructions ( when you don't want to use plastic fasteners):
There is another way. (Only recommended if you won't be hitting any cones at your local autocross :-)
For the alternative method, I would recommend you do not use their spring clips and either their hardware or your old hardware for the lower two fasteners per instructions. Instead, go to your local automotive supply store and pick up some plastic fasteners like the ones it is implied you have to clip off with a knife or side cutters. ( Yes, the instructions are THAT good! :-)
The reason for that is that the supplied spring clips are very tough and even if you do a good job spreading them, they will gouge right through the paint, down to bare, shiny, deformed fender metal, leaving a nice place for rust to start. But plastic, expanding rivet type fasteners should leave your paint intact.
The trick is to spread open the existing clips to take them off without scraping the fender metal.
Plastic Fastener method:
Either way, when they are installed, slather them well with Armorall. That makes them much easier to clean and the ice doesn't stick as much in the winter.
N.B.: While you have the fender liners detached, pull them away from the fender and reach behind and make sure the area behind is free of dirt and leaves that will trap moisture, accelerating body rust. That area is a small pocket formed by the bottom rear of the fender and the inner body. Stuff tends to collect in there, and stays wet a long time, even here in the semi arrid desert region of Colorado.
REAR SPLASH GUARDS
The rear instructions are also flawed in a similar way as the fronts, but they are more straight forward and useful. So, again, read them to get some clues.
On our '96, I still needed the unmentioned T-25 Torx bit to remove existing fasteners.
The splash guards mount to two existing holes that use the above mentioned Torx fasteners to fasten the non metal rear bumper fascia to an under structure that is also plastic. You need to drill two new holes for the other two lower mounting points.
The following steps are what I did. Don't get hurt, use common sense in jacking and supporting the car. If it falls on you, it can kill you or remove important parts of your body.