I've been looking into small scratch and chip repair techniques, this YouTube video is pretty much on target with what you need to do:
(YouTube channel is "
Sweet Project Cars" in case the link above doesn't work)
A little shade tree, but I like his technique and his attention to detail... he's **** about cleaning the repair area and keeping it clean throughout the process to provide the best possible conditions for a successful repair.
As mentioned by
@iamdub, the key is to get "good" color matched (use the color code in the VIN) touch up paint that combines the base coat & clear coat, use 1500 or greater wet sandpaper to sand down the touch up paint, and to check your sanding very often so as to not sand through the factory clear adjacent to the repair.
The basic process is:
Wash
Clay bar
Clean with alcohol, to remove any surface chemicals, waxes, etc.
Sand around chip/scratch to give the paint a rough surface to bond too
Apply paint, give it enough time to completely dry
Sand touch up area down until it's level with the surrounding paint/clear
Compound
Polish
Wax/seal
As a side note, I have done touch ups on previous vehicles (well aged, not too concerned about how the repair looked), skipping some of the key steps (clay bar, alcohol clean, proper sanding of touch up area) as well as using cheap touch up paint, and I can tell you that the repaired areas looked more obvious AFTER I repaired them then before, so don't skip or skimp on any of the steps!
Maybe practice on an inconspicuous area? Or go find the vehicle that caused the paint chips and practice on that? You could even skip a few steps just to see what happens, also experiment with lower grit sandpaper like 150 instead of 1500 (what's a zero between friends, right?)...
Good luck!