There are a lot of veterinarian clinics in Moscow, non-state and the so-called state-run “stations for fighting animal diseases”.
Though at the first approach it may seem that prices in state stations are low, most probably eventually they will sum up to the same total as the cost per visit in privately run clinics.
So whatever help you need, from simple inspection to vaccination to neutering to a consultation of a therapist on kidney or liver problems of a pet, and, strange as it may seem, euthanasia, be sure that you carefully select not only the clinic, but also the specific doctor you are going to trust the life of your pet to. If today is the shift of a good doctor in a good reputable clinic, it can be that tomorrow is a shift of a doctor who is not worth a visit and you'd better wait for the good one to return to work, or consider going to another clinic with an urgent problem.
Going to a clinic just because it is accross the street or just around the corner from your home is not a good decision.
Here you can find a list of state-run veterinarian stations and non-state clinics of Moscow
http://pesikot.org/forum/index.php?showtopic=147672
Here is the list of veterinarians
http://pesikot.org/forum/index.php?showtopic=147675
And here is a data base where you can search by the name of the doctor, the name of the clinic. specialization of the doctors etc.
(The data base is only in Russian, and as I am writing this message, I am reading on the site that it will be out of operation through September 2011 ).
http://www.vet-site.ru
It will never hurt to ask for advice at pet care forums if the choice of a doctor is of vital importance.
Other useful links are
www.zooforum.ru
It is good for asking initial questions on various pet health issues, and for double-checking if you feel that the treatment your vet is giving does not work right.. maybe it is time to look for another doctor. Consultations are given by veterinarians.
http://ru-cats.livejournal.com/ is the Russia’s largest cat community in the LJ where you can discuss any cat related matters and share cat related expereiences.
You might also want to seek some advice in http://ru-vet.livejournal.com/
Useful information on pet care in Moscow in the English language can be found here
http://www.moscowanimals.org/advice/advice.html