Even with a Concealed Handgun Permit, there are, under state law, some institutions that can still ban them - like schools, banks, etc - it may depend on your state law regarding the CHP (Concealed Handgun Permit) - your local PD may be a resource for you.
Our banks have always posted signs banning any weapon being carried in to the bank - we, of course, make exceptions for armored couriers and law enforcement!
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My comments are absolutely no reflection of, nor influenced by, my employer - take them at your own risk.