I began charting as soon as I came off birth control because, like you, I wanted to get to know my body. I'd been on birth control since I was a teenager and hadn't had a period in years. I knew nothing about my cycle, how long it would be, couldn't even remember anything about it from when I was a teen. (I'm 27 and my last period would have been around 16-17 before I went on Depo.) Also, I found the whole concept fascinating and wanted to learn more about it.
So my OH and I are NTNP in that we don't time our BDing, a couple times we've completely missed the ovulation window even. But I still chart. I've learned how the process works. I also love knowing when AF is coming and even when she's leaving based on my temps.
OH thinks I'm obsessed but he doesn't understand the charting and isn't at all interested in learning about it. He's an earth science teacher and biological science just "isn't his thing"... I don't think I'm obsessed at all though. I do temp every day at the same time but I wake up at the same time every day - even on weekends because my dogs won't let me sleep in past that time! We talk about having a baby on a daily basis but we did that long before I even came off birth control so that's nothing knew.
I think if you go into it not wanting to be obsessed about it, it will be a whole lot easier than going into it with the intention of TTC. It gives me a sense of peace knowing what's going on. I'd be a whole hell of a lot more obsessed if I didn't know what was going on (control freak behavior I guess, lol) and was in the dark about all of it. I have coupled charting with OPKs on two cycles to test whether or not I was actually ovulating since I was worried about having been on birth control for so long though. And yesterday my OH and I both took fertility tests to make sure everything was working properly, but now that I know everything is, I'm completely relaxed about it and know it will happen when it happens.
(Sorry for the long post!)