I went through the exact same thing for a long time. I think a lot of transguys/girls do reflect on the effects of hormone therapy may have on their relationships with friends and family and the response they will get. I didn't even tell my Dad until AFTER I started T. My mum was so cautious about me going to the doctor even just to MENTION starting until I had seen a psychologist who specialized in gender/sexuality issues who would back me up on the whole situation. It took a while, and a lot of the time I wanted to give up and just say to myself "just deal with what you have, don't put it on anyone else", but I didn't - biting the bullet and speaking up is hard, but if that's what you need to do, then the time will come.
How old are you/is there any chance of you being financially independent in the near future? Perhaps if you put away some money to go towards financing the initial steps of your transition, wherever you may start, would take a little pressure of your parents (in their eyes, at least). Fearing rejection from influential/important people in life (PARTICULARLY parents) is almost a given I'd say in this situation.
Perhaps you should clear your mind and make a list of the pros/cons of beginning your transition would be and discuss them with your therapist. Getting things down on paper can often make decisions/topics easier to discuss. Things like that can be much less jumbled or complicated when they're in front of you in a written form.
I hope it all goes well in the future for you though man!