Stranger Anxiety

My son turns two in a month, and for the past month or so he has started having what seems to be panic attacks around other people. He's fine when it's just the two of us but when we go around others he oftentimes goes into these fits where he's screaming and crying and shaking. It's very difficult for both of us because I get very panicky and kind of just end up holding him to my chest, unable to speak because I, too, begin shaking with anxiety. Anyone have any tips on how to handle this?