I Am 37 Weeks Pregnant. I Have What I Believe

I am 37 weeks pregnant. I have what I believe to be contractions about 6 minutes apart and find it uncomfortable to sit. However the baby is still moving around. I am being told by family that I cannot be in labor if the baby is still moving. As this is my third and feels very different from the other two, I am unsure what I should do. Can I be in labor if the baby is moving?