I thought about this very issue in regards to a stranger in my house carrying, such as a repairman whom I trust and it occurred to me that here's what I'd do.
I'd tell them 'I'm not going to make you put your gun in the car, but I am going to ask you to clear your HG before you come in, put the magazine in your pocket and show me that it's unloaded, safely. Then when you're back outside you can put your mag back in.'
IOW, I don't want a loaded, hot HG being carried in my house by a guy I don't -really- know, but I don't want to disarm them.
SO...I'd say, why not, for a trial period, OC unloaded around your family and when they are used to the gun and know you are being safe and are trained up, ask/tell them you are now going to carry your normal way. You will have laid groundwork to allay their fears, and you will show you are not trying to be pushy.
If I had a cousin, say, who wanted to OC in my house and he was a loudmouth jerk and pushy, even if I thought he was safety conscious, I'd have a problem with him OC in my house (or even in my presence). It would trigger my dominance urges. Now, if I was OC also, at the same time, then the playing field would be level and though he still might irritate me, he's not dominating me (theoretically). It lowers my anxiety, paradoxically even though now we have two loaded HGs in the house.
$.02