Hi An_241077,
Sorry to hear about your kittens. According to the veterinary infectious disease experts, about 80% of all upper respiratory infections in cats are caused by one of two viruses, Herpesvirus-1 or Calicivirus. Antibiotics will not treat viral infections. But many cats with Herpes or Calici get secondary bacterial infections ... so antibiotics are often given and can sometimes be helpful.
Probably the most common cause is Feline Herpesvirus-1 which is known to cause sneezing and clear nasal and eye discharge. Once infected with Herpes, it is for life ... but most cats have immune systems (along with protection from vaccines) that are able to keep it in a latent/dormant state and the cat may never show symptoms. But it is also well known that periods of stress can cause Herpes to become active again. That seems to fit your scenario, with your kittens breaking with symptoms soon after the stress of being spayed or neutered. It is likely that the mother cat has had a Herpes infection that had been dormant, but the stress of birth and caring for the kittens could have reactivated her Herpes and she may have infected the kittens ... then the stress from the spay and neutering of the kittens made it active in them.
If (and without testing there is no way to know for sure) your kittens have Herpes ... one common treatment is to give them some Lysine (added to their food). Lysine is an amino acid and will not cure Herpes, but it can help slow the reproduction of the virus and help the cat's immune system get it under control. I've never had to use it, but I believe you can use a generic Lysine from any pharmacy and it is quite safe to give. I'm not a vet but your vet can help you with dosage amounts. That may be the cheapest way to help the kittens ... assuming the problem is Herpes.
For more serious Herpes infections, there is a new anti-viral medication, called Famciclovir, that works well on Herpes and is safe to use in cats ... but I think it is rather expensive. You can ask your vet about it if Herpes is suspected and the antibiotics and/or Lysine are not helping.
If the cause of the respiratory infection is Calici ... there isn't much you can do other than the antibiotics for secondary bacterial infections ... plus basic supportive care. If they are badly stuffed up so that they can't smell their food and stop eating ... you can turn on a hot shower and put them in the bathroom where they can breathe the steamy, moist air ... or, the vet can show you how to set up a nebulizer, but that may cost a bit to get the materials. The vet can also try flushing the sinuses with saline to give some temporary relief.
If the kittens haven't received their vaccinations yet, it would be good to do so. The older kittens should be sure to have had a final kitten series vaccination (for Herpes, Calici and Panleukopenia) at or after 16 weeks of age.
You might want to ask your vet about one of the Intranasal vaccines (by either Heska or Pfizer). They have the advantage of giving a good local immunity (stimulating innate immunity and cell mediated immunity) in the nasal mucous where the infection is found. The drawback of the intranasal vaccines is that they, themselves, can cause 2-3 days of sneezing and nasal discharge. But since your kittens are already doing that, you don't have anything to lose. Some specialists actually treat chronic Calici with the intranasal vaccine and often have good results. However, the kittens do need an injected Panleukopenia vaccine at or after 16 weeks of age.
There are several organizations that help with veterinary expenses. I haven't had to use them, so can't remember right now, but there are others here who can help with suggestions.
Good luck,
Stephanie in Montreal