When I get a BH the right side of my uterus always pushes out. It's not the baby, it's the uterus going rock hard (in my case). Apparently the uterus naturally leans forward and towards the right slightly so my BH accentuates this. My baby moving is an entirely different sensation. For one even if she does push out in one spot it's never static or still- there is always a sense of movement even if it's super slow.