Hi, Idamario -
You're quite welcome.
Is this something a reasonably proficient user can do himself? Is there an article with instructions on how to do this?
Yes, it is easy to do. Instructions can be found in the user's guide that came with the computer.
In case you no longer have that guide -
• Shut the machine down.
• Open the side panel door.
• Locate the battery. It's a half-length AA in size, horizontal in a holder on the main logic board - that's the large circuit board affixed to the inside of the side panel door.
• Remove the old battery.
• Insert the new battery.
• Close the machine back up.
***
You can obtain a new battery at places like RadioShack for about US$17, cheaper on-line. The description is: Lithium, 3.6V, 850mAh, one-half AA. The Apple part number is 922-4028; RadioShack's part number is 23-026. Some other vendors' units may have a higher mAh rating - that's fine if they do.
If you need to take the old battery with you to a store, note the orientation of the battery in its holder so that you can insert the new one pointed the same way; if the holder is marked you don't need to do that.