Firstly, welcome to CnH :wave: You will find plenty of good advice and support here, given by experienced chinchilla owners, breeders, and rescuers.
You sound like you are just throwing these chins together with no real understanding of what you are doing - you're not going to get anyone telling you it is ok to breed chins in that manner - you need to have a good, hard think again about what you want to do with this pair of chins. Getting the male castrated is going to be your best option if you want to keep them together.
It is not advisable to breed from non-pedigreed/historied chinchillas - there are all sorts of problems which can occur and a search of the forum will show you some of them.
Breeding chins is not for the "novice" chinchilla owner and you will need to have a chinchilla competent vet nearby in case of emergencies and plenty of money for vets bills. Emergency C-sections can cost upwards of $600 - anything up to $1000 and that's just for the initial surgery.
Neutering the male is the best option for your chins - a male can be neutered any time after about 6 months but this pair should be separated NOW (if they are not already) so that the female does not get pregnant. If she is pregnant then you will need to read up on the many, many threads here which cover preparation for pregnant chins.
You will NEED a chinchilla competent vet to perform the surgery and average costs are around $100 I believe (someone from the US please correct this if it is wrong) which is similar to the UK (£40-£100).
Having a chinchilla competent vet is essential for performing neutering on a chinchilla - it is more complex and "fiddly" than doing a cat or dog and anaesthetic risks are greater.
As for post-op care - have a look at the page on my website which is all about care of chins immediately after surgery:
http://www.davidson-chinchillas.co.uk/pages/initial_post_operative_care_of_chinchillas_following_surgery.php