[cypher]

Maybe try doing what I did with Flynt (my most terrified ever ham!) just lift the lid on his house, speak to him quietly for a moment, drop a treat in & put the lid back down again.
It took me some time to gain Flynt's trust doing this & I was beginning to despair of the little guy ever gaining confidence but with time he did & actually became the cuddliest little ham I've ever had!
I did a similar thing with Tinwë, although confident for the first few days when he suddenly got nervous he would come to the door of his house & hiss at me then dive back inside little tyke! He wasn't happy at first but soon accepted that it wasn't a threat & was coming back out to take treats again.
Each ham is different so you do have to guess which way to play it but don't get too disheartened, I'm sure you'll win him over.
I wouldn't worry too much about moving the cage, he probably won't be that disturbed by the change if he's in his house until all is quiet.