This took a long time to read, and I am thusly disappointed in all of you. Though I felt like throwing a couple things out there: (Note that I've owned a 360, had it for about 6 months, it got stolen, then I bought a PS3 [like two weeks before a bloody price drop :<], so I do have experience with both)
A. I actually prefer using the AA battery packs on the 360, I have rechargeable batteries as well, and they run out of batteries... Oh I'd say like 30-ish hours (estimate), whereas using incredibly cheap Target batteries (I bought 36 of them for $8), they lasted I'd say about twice as long, it's hard to make a good guess because they lasted so damn long.
B. The PS3 controllers come with rechargeable batteries, I own two of them, and they both run down to like 20% power in about 6 hours. The cord to recharge them isn't very long. Now, the high point of these controllers... I really like how the playstation controllers have been shaped all along, it's comfortable, and it's familiar. The recharging cord works with a computer, and it also works with a PSP, and some other things, like my mp3 player, though I kind of can't find that any more and think it got stolen...
C. The playstation online is free, but unorganized and ugly. The Xbox Live marketplace is very well organized, easy to find what you're looking for or new things, and it's put together pretty well, while the PSN download page is... A hassle to get through, where you get to look at 4 things, and shuffle through pages in a clumsy system. I'd prefer it free regardless of this, but $50 for a year isn't bad. I've yet to play a PS3 game online though, so I dunno if it's just super laggy or any huge problems.
D. Holy shit I didn't know the PS3 worked wirelessly out of the box. But then again, I hate all things wireless so I think I'll just keep that ethrenet cord plugged right in, as I find the wireless cuts out quite randomly!