Com'on, I'm sure you can squeeze the PSU somewhere. Then when you arrive you don't even need a case, just assemble everything on top of your desk like a real hacker!

just plug it right into the wall

probably just strap the mobo to your chest to keep it safe

i don't think they really check

put the psu in your pocket

I've never bothered with anti-static anything but I guess it couldn't hurt

put it in anti-static underpants