I usually listen to soft soothing music on my IPhone until I drift off. I also am coming off a sleeping pill (Zopiclone) and it is hard! I've reduced from 2 tablets to 1, but when I tried to go down to 1/2 a tablet I just couldn't sleep, so I went back up to 1 again. I'm starting to work out for 1/2 an hour in the morning before work and hoping that will help me to sleep better. I find that when I get my heat rate up like that most days of the week i tend to sleep better, but I do miss the drugs just knocking me out.
Keepsafe, meditation is probably a really good idea. Unfortunately I am in a bad place spiritually right now and am not able to meditate without a huge amount of anxiety, so it's not helpful.