Yeah sounds like he is about to shed. But if he is burrowin with UTH you may want to think of laying down some zoomed carpet or something like that between the glass and substrate cause if it gets warm enough it can burn your snake. If he has a foggy eyes then he is definately about to shed. So make sure your humidity is up to 70%. But I really would get something between that glass and your snake. You never know even if your glass were to get pressure cracks from too much moisture hitting it mixed with the heat or just the heat itself could really injure your snake and that carpet stuff is cheap. As for switching tanks. you can do that whenever you want as long as you have the heating and humidity requirments. The hides are the main thing. Just cause you put him in a bigger tank doesnt mean he needs bigger hides. They like to touch as much of the inside of their hides as possible. Well I will stop this rant. Good Luck.
P.S. you want to be able to read the temps on the cold side and the hot side. So if you just have just one temp for your whole cage I would reccomend another one for each side. 1 hydrometer will be fine though. And the moss thing is a good idea. Just for the hot hide. Cause you dont want the whole tank that humid to prevent a RI.