You are good OC or CC. Off limits will be any federal property, state parks, schools. None of that will probably effect you if you won't be here long. One thing that might is that you can not carry into an establishment that sells alcohol for consumption on the premises. That meas any bar or any restaurant that serves alcohol. You also can not carry into any place that is posted, but it has to be properly posted in order to be valid. If I were visiting, I would just not carry in a place that was posted, just to be safe...or make sure you are well concealed. If you get caught and it is posted properly, it's a misdemeanor. If it's not posted properly, you aren't breaking any laws but the store can ask you to leave. You probably won't even see a posted establishment. It's not that common.
For eating out, just pick a place that does not serve alcohol. Cracker Barrel is one of our favorites. There aren't too many that don't serve alcohol. We're hoping for a change in that law this year. It's really a PITA.