How Do I Build a Faraday Cage?

I would try to attract an African Grey Parrot to your cage as they are the "High end" in talking birds. Sorry I can't help with the Faraday cage, but I'm hoping to learn more on this post. I did look at your Funhouse though and I'll bet you have an exceptional sound. I especially like the rack you built to hold your system.

Check out Verastarr.com for their "StarrDamp CS" sheets as one approach to reducing cabinet resonance while simultaneously shielding against RFI.
For interconnects, check out Zcable.com for their "Z-Sleeves". They have already designed and built what you want.
I use one surrounding the IC from turntable to phono RCA input, and one surrounding the older, fixed, power cord of my turntable, with resulting audible benefits as mentioned on the Zcable,com website.
If one places one of the tubular Z-Sleeves right in front of a squawking parrot, or Audiogon member like myself, furiously typing away, there is an immediate sweetening or mellowing of the noisy output from either one :>)