I was previously a wood burner at my last house. I would say that burning corn is much less mess, and less work, than burning wood. We have not had any problem with rodents yet, that we have seen. I try to keep the bags of corn sealed up and try to keep any spilled corn around the boiler swept up. Still, I plan on seeing if I can talk my wife into obtaining a four-wheel drive mousetrap in the fall. :-) She is not a cat person, I am. I think the real key is to get a cat with the same color hair as the dog she loves. That way it is not "*your* cat's hair on the furniture..." Ahhhh, marriage.
More work than what? Gas/propane? Yes. But, more work than cordwood burning? No, not by a long shot. There is a lot more work and mess involved in burning wood.
No, at least not the corn burners we are talking about on this web site. The corn stoves we are talking about burn only the shelled kernels of corn, or wood pellets. I have heard about other grains being used and for more information about that, check the forum area of the site. I put this question first because, by far, this or something similar is the most common question people ask when I tell them I installed a corn burning furnace in my house.