I am the exact same way. In front of my parents/family, I stutter almost constantly. But as soon as I'm out with friends/in public, I barely ever have problems stuttering. Yet I also find that the more comfortable I become with people(over a week or so of interacting with them), my stuttering tends to become more and more prominent. You would think it would be the opposite; the more comfortable I become, the less I stutter. Hope your situation gets better soon, OP!