Everybody talks about computers as if they are fragile and one touch to the motherboard could fry the whole thing. Well maybe if its on but when properly off (i.e power cable out)then they are reasonably resilliant. All I do is once turned off touch one hand against a metal area of the case (the power unit at the back) and the other hand against a radiator or a pipe, or anything connected to earth. In fact if you have the power cable in then you can earth yourself by touching the case then and then remove it when you need to open up. That is all what i usually do, i forget half the time or cant be bothered and in fact as long as you brush against the metal inside every so often then no problems as your charge will equal with the computers.
You will be suprised what a decently made computer can survive (and that is the problem many are made to an awfull standard), my computer has survived short circuting (bare wire was touching case) numerous things falling onto the motherboard (screws, screwdrivers). Then onto a friends computer which had the processor put back in the wrong way, (forced in by the heatsink clamps), it was turned on and didnt work, so i checked the processor had been put back corretly. I had to streighten a few pins and it worked as good as new. I have seen hard drives tossed across rooms and still work. Also for some cooling systems you must fill the processor socket with thermal paste to stop condensation and the computer still works. I have seen heatsinks on so tightly that the motherboard was permanately warped, and it still worked. I have seen heatsinks on so tight that the computer wouldn't work but after loosening it worked perfectly. I have seen hundreds of cables forced in the wrong way (I even come to a computer where someone couldn't get the cable in so they champhered the plug so it would go in, suprisingly it didn't work, but after I corrected them it worked)
I have even seen the ultimate, water inside a computer and after being left to dry away it still worked.
All of this is just an attempt to show you that computers are pretty resilliant. Even if there is something on your motherboard that can conduct the chances are is that it will not as the electricity will find it much easier to pass through the copper and gold tracks of the motherboard than through your finger.
So in conclusion, as long as you are relatively sensible do what you need to do, if you do something wrong chances are you can correct it.