What I do for introductions and it works fairly well, is I take the dominant one of the two and trim their whiskers down to an inch in length (they grow back, so no worries.).
First thing in the early morning hours, when they are all tired out from their long night of playing, I will put both of them in a neutral (and chin proofed) room in my home, lay out a dust bath, and maybe some tunnels or objects to keep them distracted from wanting to hurt one another, and I will just sit and watch.
I stay for a good 2 hours, and if all is well, I will put them in the male's cage (much like Jamie mentioned). I will supervise for another two hours, to ensure there is no fighting. If there is fighting, then I separate and try another introduction method on another day, but usually this way of introducing works well. There is the odd chinchilla who is just not interested in having a buddy, but that's only ever happened once before and I've introduced numerous chinchillas for other pet owners, my own, and for friends.
If it does not work out, you could try the same introduction method with the dad and babies (if all babies are male). There is no harm in doing that either.