Any car charger will work. For the Note 3, I suggest getting a 2.1+ amp car charger.
Now, I'm not sure about the Note 3, but with my S4, certain cables didn't charge the phone at full power. These were 3rd party micro usb cables and charged only up to 500-700 amps. I kept losing power when using GPS and bluetooth music which obviously means something is not working right. Then I bought a MediaBridge charge only micro usb cable and that worked fine; charging the phone at full power. I use the same setup with my Note 3 without any problems. It'll be better to just use the OEM cable since it's meant for the phone if you don't want to deal with charge only cables.