I am no expert and have no experience, but I would not get a hair transplant if I were you. Based on what I have seen, your hair will most likely continue to fall out. In which case, even if the hair transplant is successful, you will only have good result for a few years. After which, you...
It's more complicated than fine haired people go bald earlier. I know a lot of Jews, Italians, and Greeks who are extremely hairy, and have been their entire lives, but went bald early and quickly.
It's genetics plain and simple.