First off, why are you removing it from it's cage to eat? Is it because you have loose substrate that you don't want it to accidently ingest? Or is it because someone told you if you don't move it to a different container it will associate you with food when you reach in it's cage?
I keep all of my snakes on papertowels, so I have no worry of accidental ingestion of substrate and I regularly handle my snakes, so I have no worry of them associating me with food. Because of this I feed all of my snakes inside their cages. This works for me, but you may want to continue to feed outside your snake's cage if that works for you or if you have loose substrate. However, I just went to feed that one snake again tonight (the one that bit me before) and she smelled the mouse and was obviously very hungry because I had to basically throw the mouse in the cage instead of placing it in the cage like usual. She would have definitely bit me if I would have tried to even just touch her, because just by smelling the mouse outside of her cage, she was ready to eat.
Getting bit isn't a horrible thing though. It feels like a pin prick and wont bleed unless you pull away and the teeth get caught in your skin. It doesn't hurt at all if it's a baby biting you, or so I've heard.
A friend of mine, who has been breeding snakes for about 30 years now, jokes that you aren't truly a herper unless you've been bit by at least three species. I know you're only talking about cornsnakes here, but don't worry too much about getting bit. Like I said, it's not a big deal. Before I was bit (by any herp) I was pretty worried about it too, but now that I've had a bunch of herps bite me and can consider myself a true herper, per my friend, I can really verify that it's nothing to worry about. I've hurt myself worse ways just by walking around my house than by any snake bite I've received (did I mention I'm a klutz).
If you do end up with one of those rare cornsnakes that is a biter, what you can do to keep bites at bay is to use forceps to feed the snake and/or use a snake hook to move the snake out of or into it's cage. The forceps are just to allow you more room between the mouse and you during feeding time and the snake hook will alert the snake that it's not time to be biting. Usually with any snake once it's out of it's cage it's okay to be handled, getting taken out of or being put back in a cage is when you need to be concerned (and I'm mainly talking about the nastier species here).
Wow... this post turned into a monster. Sorry about the length.