I don't take up Billys bowl until I'm washing up, it stays there on the floor empty. Once it's empty he has no interest in it at all.
I taught billy a "back" command, using the clicker ( Very very easy to teach) and if he is eating and i want to add something to his bowl, rather than just sticking my hand in I say "back" , once he is a comfortable position away from his bowl , I put the food in, once my hand is out of the way I say "take it". I'm probably 90% certain he wouldn't bite anyway , but this method is much safer and makes us both happier as there are no "missunderstandings" !