Hmm. Buying a genuine soviet watch can be tricky - the market is flooded with chinese copies. Don't buy anything off ebay, it's not worth.
How much do you want to spend, and what do you want to buy? I go to Russia frequently and if there's an opportunity can scout around and perhaps pick something up for you.
In order to copy them they must surely have the same machines as the soviet watches as the soviets are very easy to identify.
Soviet watches are so cheap I can't see there being much of a market for copies of the usual ones, perhaps with Poljot as they command a higher price.
If its a problem you could just look on HERE.
Oh and don't touch anything that you cant see the movement on, you should be able to find pictures of that type of movement on the net.
THIS used to be a huge resource of pictures of watch movements but when checked it just now all the hyperlinks to the pictures take you to a section thats says "The content of this page is unavaliable".
I don't know if that situation is a permanent one or not and I kind of wish I had copied off the pages when I had the chance.
<Edit> It seems that those pages are being reviewed and should be back up at some point in the future.