I need advice from a non-resident hunter from Illinois,

I have permission to hunt a farm in Illinois. I live in Florida. I searched the web and it appears that non-resident hunters must be pulled from a lottery in order to puchase a license and number2 they must obtain some kind of permit to bring a firearm into the state. Please tell I'm wrong and tell me simply how I can obtain a non-resident license.
Thanks a million,
Chuck