Please please please..help me :(((?

We had our baby girl two months ago and she is the center of our lives now. We are really happy to have her but i and my husband keep on crying on small things. She smiles we cry, she coos we cry, she cries we cry, We are just over whelmed by this whole parenthood experience and can not even imagine a life without her. We just keep on looking at her and want her in front of our eyes all the times. Do you think it is normal to be like this after having a baby? She is our first and this all very new for us. Not only this but we seem to be really sensitive towards many things in life too. Now when we know we are parents and how we feel towards our baby, we are getting more caring towards our parents too. We also start crying while watching emotional scenes in movies. I don't believe how our lives are changing. We are completely new persons. Please help me. Tell me how to control our tears which are ready to come out all the times for nothing.