We have multiple post of Kentucky laws relevant to firearm carry. Visit the thread "Kentucky gun laws" to get an answer to the most common questions.
But yes, while you are driving (or walking, jogging, shopping, etc) you can OPENLY carry your firearm without a permit. Loaded or unloaded is your discretion (I would suggest loaded). Some would argue that hip holsters is concealed while you are driving, some would argue that IWB is concealed every time, I don't think either of these is that case. Notice though that these are just my opinion.
You can leave your firearm in ANY factory installed compartment and not be guilty of "Carrying of a concealed deadly weapon", this too can be loaded or on loaded. It does not matter if the compartment is locked, unlocked, or has the ability to be locked.