should be no stress if you are betting with money you can lose. it should be assumed that you will lose every bet you make. if you start getting cocky, thats the beginning of the end.
i've learned to just not watch some games that i bet on...i like to check up on things later, that way i eliminate any stress. of course primetime games i have to watch though.
For me I play mostly system bets. So I don't really pay attention for the most part while the games are going on unless it's a game I would watch normally.
After the games I update my tracking programs and make my bets for the next day.