Sounds like your parents are using the same playbook mine did. Try their hardest to get you to not transition for your own sake just so they can keep their reputations intact. Mine didn't have anything to take away from me as I am 100% independent so they have learned that I can live without them even though it'll hurt me I can and will if I have to. They on the other hand have begun to realize that I do play a rather big part in their lives and with me gone they have nobody to depend on when things go bad. Still even after almost 5 months it's a constant struggle.
At first it was that I obviously have no idea how I feel in my own body but THEY do.
Then it was that I'm possessed by the Debil "yes I spelled it that way on purpose

" for only he would cause me to do this and turn my back on the bible. Even though I'm still Christian.
After that it was the oh this is the generational curse. Yes, my mom whole heartily believed that things both sides of our families did in the past somehow cursed me and ONLY me to be transgender. At least I learned that even though I'm transgender I'm still only 1/10th as screwed up as all of my relatives. Really I learned some really effed up stuff about all of my relatives.
They couldn't believe I never pranced around the house proclaiming that I was a girl....ect. They just don't understand what FEAR really is and what you will do even as a kid to keep people from finding out your deepest secrets. I figured my mom would as she too had a rather unpleasant experience as a child that she kept hidden for years and years "were talking about almost four decades" and yet with that knowledge of why we keep things hidden she couldn't relate as they were just too different and mine just goes against the bible.
That's where 95% of all of my family related problems stem from. One book and words that are in it. They still don't even believe that I spent years and years trying to pray my feelings away and the agony of waking up the next day feeling the same as always and that your cries to god went unanswered again.
When I started HRT they FLIPPED out but still tolerated me even though my sister has vowed to make my transition as difficult as she possibly can out of spite because she is afraid that I'll be a better woman than she ever could be. Newsflash to her is that already happened even when I was in male mode and she never noticed it. I can do many stereotypical things that women do and she can't as she is a 100% tomboy.
All in all there's no stopping me from moving forward and finding my happiness in life. They are beginning to realize it as the proof is really in the pudding as they say, every picture that's taken of ME shows something that every picture of "me" had that was never there. I couldn't show outward signs of being happy when I was a man, my eyes had a dead look in them but now I have a true smile as a woman and this warmth that just pours out of me. So just give them time, either they will come around or they wont and that rests solely on THEIR shoulders alone. Spend this time working on yourself and not trying to get them to understand as in most cases they either don't want to or are just too stuck in their own pride to admit that YOUR happiness is really the important thing that they really want for you. Even it if means hurt on their end as they see their child physically change before them.