"One of the more challenging problems in learning to meditate is remembering to do it."
I do it every night before going to sleep. That's not hard to remember, plus it clears your mind for a deeper sleep. You can go to bed at your normal time as well, as the meditation can be considered as part of your sleep schedule. It definitely won't (and hasn't for me) detract from your sleep.
Just start by focusing on the tip of your nose and controlling your breathing. Then when you are ready, allow your body to take over the breathing while you watch. Then also allow it to take over the monologue in your head and you listen. Eventually you become an observer of all your thoughts and senses, and so become free of them.