I have a cold sore and my two month old may have touched my lip and then put his hands in his mouth. Are the chances high that he'll get hsv-1?

It depends on... If a cold sore is freshly oozing, there are lots of viruses there. If it hasn't broken open, or has already scabbed over, there is less chance of viral transmission. Since herpes type 1 virus infections happen to the great majority of people, it is extremely hard, if not nearly impossible, to prevent oneself from being infected during his lifetime. A baby should be checked, if any signs of herpes.