I kind of had a similar situation, although my parents are Catholic. I had a hard time telling them I was going to start attending Latin mass regularly. They were extremely opposed. I think some things are always going to be very difficult and require a heck of a lot of courage, but if you know it is the right thing, you have to do it regardless. Things might get uncomfortable and perhaps even a tad hostile at home, but I think God will smooth that over for you in time. I’ll be praying for you!
Also, sometimes we have perceived notions of what will happen and end up being pleasantly surprised by the actual outcome. So don’t lose courage over a hypothetical problem! Deal with the actual problems that you have now and you can get to other problems as they arise. Let today’s worries be enough for today.