You have four options as I see it:
1. Carry anyway, and let everyone know it.
2. Carry anyway, but don't tell anyone/lie about it.
3. Stop carrying (at least around your family).
4. Attempt to change their views.
I am purposely leaving out the 'just leave your family' options. Although they are valid options, I really can't help you there, as that is a choice you alone must make, and such a choice requires weighing things that are obviously beyond the scope of this forum.
I'm also going to discount options 1 and 2 for the purpose of this response, because from your posts it sounds like you have already decided against these options. They're obviously valid options, but they're not for you, and that's fine.
This leaves us with options 3 and 4, and their possible outcomes.
3a. You stop carrying around your family, and harmony is restored
3b. You stop carrying around your family, and your family pushes for you to get rid of all of your guns
4a. You attempt to convince them and have success
4b. You attempt to convince them and do not have success (at least immediately)
4c. You attempt to convince them and find a workable compromise that all parties can agree to.
3a is an OK outcome (based on your choices, even though it's really a terrible outcome), and leaves you free to pursue option 4 while their 'guard' is down and they are not alarmed about you putting them in danger. 3b is a bad outcome, but in this case it is probably not likely because it sounds like they did not have a problem with you simply owning guns--and in the case of 3b, I can't imagine your wife pushing it, only your daughter and maybe your brother, so a workable compromise could be found here if this does happen. However, 3b is not ideal at all.
Option 4 is tricky. They feel in danger now. You're not going to be able to convince them if they feel in danger. Which means for this to work, you're going to need to try option 3 and hope you get outcome A, which seems very probable. Outcome A for option 4 is obviously the desired one, but outcome C isn't all that bad assuming it is indeed a workable agreement to which you can all agree. Outcome B isn't bad either, assuming you don't blow option 4 altogether, because if you haven't convinced them, you can still continue to try and do so.
So, my suggestion to you is first to stop carrying around them. You've done it before, so it might not be that hard to do. You could still carry a knife, pepper spray, or any other concealable non-firearm weapon and honestly be able to say you are not carrying a gun (just make sure if you do carry something, you do it legally. A lot of states have incredibly silly laws regarding things like knife length/type, etc.).
Next, you need to convince them. I am going to suggest you do this gradually, and gently. You have all of the time in the world (not really, but envision it like that), and if you mess up badly enough you won't ever be able to convince them. I honestly don't know what your family is like, but I would suggest that you simply and casually discuss their fears and concerns about you carrying, and ask them open ended questions about it (and reserve your judgment as much as you can so they don't shut down). I'd also recommend you don't try to do this when they're all together, that's just a bad idea. Essentially, figure out why they think (feel) what they do, and figure out a way to counter it that they can't wiggle out of. It's even better if you work so slowly that they can't tell you're trying to convince them of anything. Do not ever be adversarial--you don't want them to have a stake in 'winning' the argument, because there should be no argument, only reasoned discourse (at least on your part--they can substitute whatever they like for reasoned discourse, even "I think all guns are evil baby-killing things of death and destruction" as long as it remains civil). I know I've said it before, but slow and gradual is VERY important (although this doesn't mean you can't simply talk about it frankly, just don't talk about it for too long, and break it off before anyone starts to get frustrated...). Understand their point of view, and start chipping away at the fallacies, either by pointing them out as such (GENTLY), or adding new, correct facts to their understanding.
If you can reach a compromise with them that works for you and them, that's also a valid option. Just remember that reaching a compromise doesn't mean you don't have to stop trying to swing them over to our 'side' ok?
I honestly can't give you much more advice when talking to them than that, because you obviously know them much better than I do. What I suggested has worked well for me in the past, but I don't claim that it will work with your family. Do what you think is best, and what you can live with.
On another note, if they're really not comfortable with your level of training this might be a good excuse to sign up for LFI-I (
http://ayoob.com/lfi1.html). Perhaps even an excuse to sign up for even more courses elsewhere
P.S. This advice is worth exactly what you paid for it. Take anything you think may be helpful, and feel free to discard the rest.