Just watch out for those damn assimilating borg nanites! If you get one of those in your system when you open your case, you're done for!
But seriously, if your computer is a later pentium or newer, (say 166mhz and up) you should not have any problem installing the memory.
You can ground yourself on the case or power supply surface to reduce any chance of esd. (electro static discharge) I find it's better to do the work on your computer with an anti static wrist strap. You can find these in most respectable electronics stores for under $5. If it saves you one part being fried from static damage, it's worth it. I also suggest working in an area with a solid flooring surface such as lino or tile. Static builds up easier on a carpeted surface. For best results, go barefoot. Your whole body will ground to the floor.
Now, there should be a slot that matches the size of your memory module and is black in color. If you are unsure which slot to use, check your manual or check online with your motherboard or computer manufactuer to get an accurate description. The easiest way to tell which slot to use is it will have notches in it that match the notches on your memory module. Push the module firmly into the slot so the white clips on the memory socket's ends click into the sides of the memory module to hold it in place. Some memory sockets tend to be rather stiff if they have not been used before so some amount of force may be required to seat the module in place. Once you are sure the memory module is seated solidly, you can test your system to make sure it will work correctly.
Power on your system with the cover still open. If you normally get a bios screen that does a memory count, it should include the size of the new module in that count. If it reports a memory error or the system does not boot, power off and try the new module in a different socket if one is availible. If your computer does boot but has no memory count, just boot into windows and right click on 'my computer' and select 'properties' from the options menu. The system properties window will open and will tell you how much memory is installed. (old memory plus the new memory installed)
You should be up and running.
Keep in mind that some old motherboards from the pentium era would only recognize an sdram module up to 32mb in size.
If you have this problem, you have to install a maximum memory module of this size. There is no workaround for this.
Lotsa luck!