The federal firearms transportation statute basically states that you are allowed to transport a legally owned firearm through any state as long as you meet the following requirements.
1. Your weapon is kept unloaded and stored in a separate compartment not readily accessible by either the driver or passengers.
2. Any ammunition is kept separate from location of firearms and is also not readily accessible by either the driver or passengers.
If there is not a separate compartment available in the vehicle then the firearm must be kept in a locked container and stored somewhere other than the glove box or console.