The first phase of updating Charlie's cage is complete. I had a friend come and spend some extra time with Charlie while I cleared out and cleaned the whole tank. I used vinegar water, as you suggested and then rinsed with clean water and finished off wiping the glass with newspaper. There is some stubborn, greasy residue on the tank, but I think it might need a special cleaner.
We actually had the ceramic tile and shop towels on hand, but we did have to figure out how to cut the tile. It's not perfect but it will do for now. I might invest in some nicer tile and have my father-in-law cut it to size on his wet saw at some point in the future.
I know change is hard for beardies and I just realized he is getting ready to shed on the top of his head. Poor guy will be all out of sorts! To ease the transition, I put all the basic pieces back in roughly their original placement. I did cut down on a few rocks since I won't have room for them with the excavator.
And we were able to find an incandescent to get us through until the new heat bulbs come. I know it isn't ideal, but you've mentioned getting the red one replaced enough times that I figured it will do in a pinch.