REM cycle and sleeping patterns

So I'm trying to come up with a sleep schedule, and my goal is to make the most out of my time asleep (AKA hightening my chances/getting more chances to get lucid).
Now as far as the REM cycle goes, It's active after about the sixth hour (on avarage), so I'm planning on getting 8, maybe 9 at the most, hours of sleep each night. With that my weekdays are laid out.
But when it comes to the weekends/my days off, I'm entertaining the idea of a nap sometime after waking up. Now here is where I would appriciate some input from someone more knowledgable than myself.
How is this going to affect my REM cycles, and how can I schedule my sleep/my nap to maximize the REM potention within those?
Lets say I sleep for 8 hours one night, and I wake up at 7 or 8 AM, then I go about my bussiness, and then take a 1 hour nap a 2-3 hours later.
Will my REM cycle continue from the end of my regular sleep night, into my nap?
Also, how will this effect my next regular night of sleep's REM?
I want to have a predictable and stable REM cycle throughout my day, I don't want to skew it back or forward and make it not predictable.

Sorry for the rambling, I'm not very good at formulating myself. I hope someone can inform me more on this subject.
Also, general REM discussion thread I guess.
Thanks.

I never really worry much about REM cycles, it seems like either a limiting idea or a useless one. You have dreams in NREM, so there is no need to only aim for REM when it comes to dreams. I do know that dreams later in the night usually have more presence, but less awareness of the dream state, so wbtbs around then are very helpful. Waking for a couple hours and then going back to sleep would be good for LDing, but you might want to consider waking a bit early so you don't oversleep (or fail to get back to sleep).

And it effecting the next night depends on how much sleep you get, what hours they are that you sleep, and, most importantly, what your mind is like.