Another thing in addition to Bob's suggestions is that any amount of light may be disrupting your sleep, particularly this time of year when the sun rises a lot earlier. Hang some thick, light blocking curtains, remove any electronics from the bedroom that you can which may give off light (I use the alarm on my phone instead of an alarm clock so it isn't lighting half the room), and keep the door shut so you don't have light coming in from other rooms/windows. If you need to, even try placing a towel or something at the bottom of the door to block out all of the light completely.

It may sound a bit absurd to go that far to block out light, but you'll be amazed at how much of a difference it can make in terms of how restful the sleep you do get is.