I did see them! I saw them from the Patriarshiy most, recommended to me by the receptionist at my hotel. It's a great viewing point because you can see the fireworks together with Kremlin and a little of St. Basil's Cathedral. Interesting thing is, that after those main fireworks, there were about 5 more places in the area that I could see from that bridge that had big fireworks but they didn't shoot them all at the same time. It was sort of synchronized, that once one place finished, another started. You're right, it was a lot of fun.