Glad to see you are giving one of these projects a try, hope all goes well and you find it enjoyable.
I don't know about the others, but I have never taken any special precautions. I do just as you suggest, ignore the warnings and go full speed ahead. I have worked on many computers over the years, dabbled with electronics and other stuff and never zapped anything. Well that is from just handling something anyway. (Improper connections, wrong voltages, etc. are another story...)
However, if you are working on carpet or something that can easily generate static, that could be a bit different. If you often get zapped when you touch something in your work area, then some precautions might be justified. Wrist grounding strap or something like that.