I have replaced hard drives, CD-ROM, DVD-RW, CPUS, fans, memory, etc thru the years... Altho' I always worried a little, I have never had anything get fried by a static discharge. Here's the precautions I take...
Do the work on a desk/table in an uncarpeted room, and stand up or sit in a metallic chair... carpets and upholstered or plastic chairs are the major sources of static in my environment.
After you carry the tower to your work place, plug it into a properly grounded power outlet. Touch the back/chassis of the tower to ground yourself, then unplug the tower and do all your work w/o walking on any carpet or sitting in an upholstered chair...
It may not be perfect... but it has always worked for me.