Welcome to the forum. I think that you will find that most businesses are gun friendly. Kroger being one of them of course. You can visit http://friendorfoe.us/ to see who is pro and who is anti. The more you OC the less and less you will be nervous about doing so. If I may suggest, check out the thread "Kentucky gun laws" that is posted at the top of the KY forums. Read, read and then read some more. Stay safe and carry on.