What do you plan to do with the computer. If it is just word processing, internet, email and office applications, that should be enough.
It's pretty easy upgrading the memory of your T61p. You have to remove the palmrests first by unscrewing a set of screws on the bottom of the notebook. Then you remove the palmrests and the cable that connects the motherboard to the touchpad. You don't really have to fully remove the cable that attaches to the touchpad and you can make the palmrest sit on the front edge of the notebook (third photo) but you must be careful not to accidentally move the palmrest too far.
Now you have full access to the area underneath the touchpad where the memory is installed. Note: I forgot if I had to remove a secondary plate or not.
You will now see that both of your memory sockets are full. To remove the existing memory, pull the metal tabs on the end of the plastic memory slot outwards (ie: towards the side of your notebook) and the memory module will pop out.
To install the new memory, match up the pin arrangement of the memory socket to your new memory and press gently until you hear a 'click'. Your memory is now installed.
Palmrest removed:
View of ram sockets. Note the metal tabs at the ends of the bracket that hold the memory. To the right of the memory is the cable that attaches to the palmrest/touchpad.
Palmrest is resting on front edge of computer.
New memory installed.
