I started the oestrogen and progesterone on the same day, so not sure which one it was that helped, but really made a big difference. I'm often slow to get to sleep, but rarely wake in the night now (unless something hurts, hips usually).
I got caught up in a bit of a vicious circle before i started hrt. Getting wound up and frustrated about being awake, which made it even more unlikely that i'd fall asleep. And the sheer boredom of it. So i got a few cheap secondhand mp3's from ebay, kept them down beside the bed. I had one for relaxing music, one for comedy podcasts, one for audio short stories and one for bits and pieces (late night woman's hour, meno podcasts). Obviously doesn't solve the problem, but it did help a lot, stopped me focusing on being awake, stopped me clock-watching, and made the time pass quicker. And it helps to muffle the sounds of a snoring husband.