If you intend to deduct the cost of doing business from your income tax, especially state income tax, you should be sure to have all bases covered. It is much easier to do the right thing in the first place than to get caught and end up with back taxes and fines. The place to start asking what's required of you is the local courthouse. It doesn't really matter if it is a city or county court, if you go to the wrong one they'll be able to tell you where to go next. Often they'll have some sort of startup packet or booklet for new businesses.
Some counties have information about starting a business on their web sites.
In Washington, California, and Colorado I had to file quarterly, semi-annual, and annual returns for various taxes as well as paying for annual or biannual business licenses. Because of the amount of business I do out of state and other factors, I am not required to file local taxes at all. You may find you need a business plan to get the tax status you want. Publishing is an odd business in that you may well have retail sales as well as wholesale. That means you may be liable for all sorts of taxes.