That really sucks big time! I would be so angry!
I bet you are just sick about this.
It's hard to suggest which way to go without seeing the damage. If the chips are 'white' that means the paint is gone and there's nothing to polish out. If it's a new car, I would consider calling your insurance company as it is damage. That will make her new again.
I used Dr. Color chip in my Sapphire Black e60 M5 and was very impressed by how well it worked. However, unless you fill and wait, fill and wait a few times, the surface will not be smooth and either way up close you'll see them.
If you leased it, you might think oh well. If you bought it, you probably want it perfect again and that's going to mean filing a claim.