Help Please!! We did not know we had a male chin

About a year ago we bought a pregnant chinchilla, her name is Lulu. She gave birth to what we thought were 2 female chins. Fast forward to 15 days ago when we came home and saw that Lulu gave birth to 3 babies! That's when we realized that the 2 chins she gave birth to a year ago were not 2 females, but a female, Marbles and a male, Jack. We now know that Marbles is also pregnant and going to give birth at any point. We have a 2-floor cage so we sectioned it off and left Lulu in the bottom floor with her newborns and Jack and Marbles are on the top floor. We are very attached to all of them but we have 6 chinchillas now due to the newborns and more are coming since Marbles is pregnant. We can not keep all of them. As very emotionally invested parents we can't seem to make a decision on who to keep and who to give away, especially since we love them all and we are worried about giving them away to unfit people that may not love them as much as we do. We considered neutering Jack so if we do give them away new owners won't have this problem. However, after doing research, neutering seems very dangerous and invasive and we do not know if we should go through with it. They are all bonded, especially Marbles and Jack since they live without Lulu now, to prevent her from getting pregnant again. We do not want to neuter Jack but if we don't we have to separate them and potentially cause them to get depressed. We want to get a new cage and leave Jack by himself and let Lulu and Marbles have the 2-floor cage with all their babies.

Is leaving Jack by himself in a new cage going to cause depression? Should we get Jack neutered and let him live with Marbles again? Will putting Marble and Lulu together in the same cage cause conflict since they will both have babies? Should we give them away in pairs, since we're incapable of taking care of this many chinchillas? We can keep between2-4 maximum. Please, can someone more experienced help us? How do we find people that will be fit parents to our babies? We have no idea how to make sure our loved babies are happy and we make the best decision for them. Please someone help us, all replies are greatly appreciated!