I wouldn't neuter my male chins. I was thinking last year whether or not to neuter him, after reading it might do more bad then good it was out of question. I love my little male chin Kai, and would never let anything bad ever happen to him.
Taking him away from his mother, and sister as he got older was a terrible experience for him. He cried every night, and he called for them and no one answered back (his sister sometimes did). He sat in bed most of the time, and didn't want to get out. You could tell he was really depressed I had to remove his mother and sister.
I thought of other ways to make his life better. After a month of seeing how his pain was, because it took me that long to decide what to do. I had then planned to get another male chinchilla partner for him. I ordered him a ferret nation cage which has dividers between the top and bottom (I still had the old cage he was previously in). So I put him in there to begin with. Kai is a very calm, and very non-aggressive chinchilla sorta a mommy's boy (He really loves me). Took me a bit to find the right male chinchilla for him. I wanted a younger chinchilla then he is, because of his attitude towards (non-dominant) other chins. I thought if I got him someone older it might just beat up on him, and stress him out tons. So eventually got him a male partner which was very young (toby was so skinny and small). I put the new male partner in his previous cage with some of the toys kai had to get used to Kai's scent. Put him about a inch or 2 away from the cage Kai was in (so they can't bite/claw each other). I put them in the bathroom together 1 in a carrier and 1 outside of the carrier. If they gotten too crazy (Toby scratched at the cage) I would them swap them. I did this for a few weeks. Eventually when they gotten better they talked to each other from their cages, and sat next to each other. I thought it was about time I try to step it up I took them both out in the bathroom and both out loose. They did not fight, but they established dominance. And turned out the younger chinchilla Toby was more dominant then my older chin lol.
Takes awhile to introduce chinchillas, before you put them in the same cage. Never rush the process, because it could be fatal. Get to actually know your chins behaviour before you know what would be a good match for him. I would think it would be better to match a young chin to a older chin. But this all depends on how your chins attitude is towards other chins.
If this is too much for you to do, then you might have to give him up. If you don't simply have the extra time for this. Try to get a responsible owner to take him or someone who has experience with chins.
My 2 Female chins came previously from a owner who was selling them. But I got the 2 other chins (kisses and Kai) from one of the females I had bought from the owner. I have to admit I'm surprised and happy that they both (Kisses/Kai) are healthy 1 year olds now. And Bella the mom I'm surprised she didn't have more stress due to moving, making her maybe lose the babies or have unhealthy ones. I was a very panic Mother that day (Valentines 2014). All I'm trying to say is if you have to give them up then it's fine. People do.