This laptop has just one compartment underneath accessed by two small sliding latches - I move the latches in and the battery falls out.
My other (older) laptop has three compartments, all accessed by undoing tiny screw Phillips head screws, the largest one being for the battery.
Once you've found your replacement on-line you'll be able to tell by the shape/size where it will be located on your laptop.
As Dawnsh said, make sure you get the exact replacement - specification details like voltage in/out and amp/hour ratings should be on a label on the old battery.
One last point. Some of the cheapest replacements don't come with attached leads - these may have to be purchased separately.
It's not a thicko question if you've never done it before, but the hardest bit is deciding whether to spend the extra on a factory replacement or the budget option.
Good luck.