It is easier to transfer a chinchilla from a small cage into a big cage, this will give it more room to run and play
... BUT ... when you go from a big cage to a little cage, as a rule, the chinchilla is not a happy camper.
They miss that extra play room.
I would not have put him in the large cage before he got use to me and would come to me. I would not have outside of the cage playtime in a room were there are hiding places, until he got use to me. (A bathroom is usually best ... it's small, uncluttered and pretty safe as long as all cleaning products are put away, the lid is down and there is no water standing in the tub or sink.) But, that is spilt milk ... and info for the future ... you have to figure out what to do now.
Chinchillas love their freedom and love to play hide and seek ... they hide ... you seek.
He will let me pet him in his cage but as soon as I let him out he doesn't come near me at all. He will just do his own thing, hide under the bed, under the shelves, like he doesn't know me.
Yep, that is definitely his own thing ... chinchillas love to romp, play, explore and be the center of attention ... having you hunt for him, is him being the center of your attention ... he has your undivided attention ...
He is training you well.
He is also letting you know he misses his big cage, by not cooperating with you. The places he is hiding are dark and close-fitting ... chinchillas feel safer in those circumstances. They like to have enough room to play, yet, when they rest or sleep, they need the security of confinement ... this is where a hut comes into play.
Playtimes should be scheduled ... chinchillas love a regular schedule. He will look forward to that time and know he gets to get out and play and that he will have your attention. Debbie even has a timer that she sets ... the chins know about how much time they have to play and exactly when play time is over. It's a regular routine.
Her chins even run back to their cages for their treats, when play time is over. Chinchillas love a regular routine.
They train you to a certain point, but you also have to train them. This takes time and patients, but is well worth it in the long run.
Jo Ann