My head hair did not get thicker on HRT, actually got thinner BUT grew faster. Down to my butt now.

Progesterone seems to have helped hair become softer and shinier. My hair was already quite long before HRT, I didn't cut it. I see no reason to do that.
As for body hair, I did electrolysis (thermolysis) in the the chest and abdominal area, getting rid of that 'trail' for good. Very happy. It didn't take that long. Treatment there started 2 yrs after starting HRT when I realized that Androcur + estrogen alone did not make any significant difference.
Face, I started with laser before starting HRT. Then, after 6 sessions, I switched to electrolysis. Took about 3-4 yrs. Gone for good since. If you treat an area with laser only, there is always a chance hair will grow back, sometimes just as thick. Almost 6-7 yrs after my electrolysis treatment, no regrowth. Skin is smooth, no scars whatsoever and hair-free!

That's my story.