I got these sheets locally from Tap Plastics, but US Plastics has it as well. The welding rod was harder to find, but I was able to get some from US Plastics who turned around my order very quickly.
I'm sure this will handle the vacuum. The 1/4" sheets, along with the corners makes it so rigid that I could stand on it without it flexing.
I first bent the back, bottom, front and top on a heat bending jig that I made from three halogen shop light holders and bulbs connected together in an insulated box controlled with a dimmer switch.
To weld it, I picked up a thermoplastic welding tool from Harbor Freight that is essentially an inline heat/air gun with a small (about 1/4") orifice. To run the weld, you simply hold the welding rod in place on the seam (which I beveled into a V) and then just heat the seam and rod until the rod melts into the V groove and fills it with melted plastic.
When it cools, it has formed into a single piece that is virtually indestructible. I'd never done this, so it took a bit of practice to get it looking decent, and even then it still needs a fair amount of finishing (sanding, rasping, heat troweling, etc.)
The spout is a PVC kitchen sink drain pipe with an arm designed to be connected to a dishwasher hose. PVC is not a thermoplastic, and didn't melt together with the HDPE, so I put the threaded end of a coupling into a piece of 1/2" thick circle of HDPE and melted it into the threads and then wrapped it above the threads with some welding rod Then I welded it to the top of the tank after cutting a 1-1/2" hole. Once cooled, I could pick up the whole thing by the spout. The top adapter fits into the coupling with a standard compression fitting and can be removed for a bung and airlock.
I designed this specifically so it would fit on my barrel room shelves and take up the least amount of space (unlike round kegs or tanks). I'd though about putting a bulkhead for a valve on the bottom, and may still do that, but with pumps, I'm not sure I'd ever use it that way. Another possibility would be to adapt the top with a valve and then flip the whole thing over and use it as a conical fermenter -- again, not sure if I'd ever use it in that configuration.