Question about static.

[ghostmancer]

Greetings. I've touched the PSU, PSU cords, case, and case cords with static fingers. Do I need to de-static these parts before I build, and how? I haven't touched core components, though.

 

[manofchalk]

Plug in your PSU to the wall (switch off), touch the PSU. You are now grounded and have no static charge.

The components you touched are not static-sensitive, no worries there. Only components to be worried about ESD wise are the RAM, CPU and GPU (to a lesser extent).
Even then, as long as you dont touch the gold plates/pins on them (which you shouldnt regardless of any precaustions you take), you should be fine.