All right then. Thanks a lot for your helps. I followed one of the suggestions, to google for a how to or something. Google, with some little work, actually did its job, and got me this:
http://www.batteryuniversity.com/parttwo-34.htm Apparently, to make a lithium ions battery live longer, one should actually not discharge it all all the time, and do that only once in about 30 cycles to cancel memory effects. Also, they suggest to extract it, when on AC power (the shop guy wasn't completely wrong after all), although that may give some problems. If some of you know anything more than me about hardware, or chemistry stuff, have a go at reading it, and maybe share your knowledge with the rest of us, who PC like a little part of our brain and a better interface between what we plan and what we actually do, and don't know anything about how they actually work. Well, this applies to me at least. Cheers Ale PS:IF anybody run into different information, please let me know!