You can't talk to a 2 year old about biting
They just don't get it yet! Some doctors will tell you to bite them back... but I feel this makes it worse because then they scream! How can you tell them no and then do it too... If he bites you when he is made simply say " I don't like it when you bite me, it hurts me and makes me sad" and then proceed to take him to time out. We did this with my sister and she started feeling bad about it. Something to that effect, just keep the words simple. Whatever he does just leave him in timeout, don't baby him
(I am not saying you do by the way) Remember for timeout it is 1 minute for every year old... 2 minutes to a 2 year old is a LONG time! Trying to redirect is good to, but if he is biting you when you are on the way to timeout then I say start telling him it hurts you and makes you sad and that you would like him to not bite anymore!
Of course avoiding the situation is good too. If you know he has to put his toys up in a few minutes, instead of waiting and saying "clean up" tell him " In a few minutes we have to clean our toys up because it is time to _____" That way he is expecting it and it does not take him by surprise. Also reward him if he gets upset and doesn't bite... just ideas
I have worked at many daycares and raised a couple children that weren't mine but still little ones
(my God Son and my little sister that we got custody of!)