A while back, I got a new battery for my laptop, and here's some stuff I gleaned from various sites (most were selling batteries, so take it with a grain of salt):
The charger circuitry inside the pack is "fine-tuned" to the cells used (laptop manufacturers buy large batches of cells, so they do a bit of tuning for each batch). As a result, it's not going to be a perfect match for any batteries you buy.
The case of the battery is sonic welded, so it can't be opened without damaging it. In other words, unless you need that particular model of laptop, and replacement packs are no longer available, it's not worth it.
One of the worst ways to abuse a LiIon battery is to keep it on trickle charge. Most laptop computers, when running on the A/C adapter, will keep their battery on trickle charge. In other words, don't toss your old pack - when you're using the computer on "shore power", slip in the old pack so you're abusing a pack that's already been trashed. Be sure to mark the batteries in some way so you know which is which.
FWIW, the battery for my computer is around 11 volts (3 cells series), is available in 3600 and 5400 mAH versions (old pack is 3600, new pack is 5400). Since the new pack weighs more, the balance is different, and its physical appearance suggests the presence of 9 cylindrical objects, my guess is that the 2 capacities represent either 2 or 3 strings of 3 cells, with the strings in parallel. My pack was around $100 CDN (could have got one for about $90 US, but I bought from a Canadian source to avoid customs fees) - if your source for LiIon cells is anywhere close to $10/cell for 1800 mAH, you're probably better off buying a new pack (especially if you use your machine plugged in, so you don't trash your new pack).