I went to the Ukraine, and a friend went to Russia. It was interesting, in a historical kind of way. Ukraine looked like something out of a Sean Connery James Bond movie. Nothing much had changed since the 1970's except for the central square in Kiev that eveyone saw on TV during the 2004/5 Orange Revolution.
My mate said that Russia was dodgy. He got off the plane at Moscow Sheremyentevo airport and someone tried to scam him. Essentially, the impression of the East bloc countries is that they are dirty, poor, rundown and, in the case of Russia, dangerous for foreigners, esp. non-white foreigners. There's alot of neo-nazism over there right now. The public officials are also fairly corrupt, and there is something about the way Russians do business that doesn't inspire any trust whatsoever. Maybe its the're way of changing their story every time you speak to them. Having had several dealings with them, I wouldn't trust them as far as I could throw them. Bribery is common, but is also dangerous. DO NOT OFFER A BRIBE!!!! You may not offer enough, or the officer might think you have more, or he might even be honest. If you are asked for a bribe, act like you have no idea what they're talking about. All Russians (and Ukrainians) think that all westerners, esp. Americans, are rich. Expect to be ripped off. Don't be afraid to haggle in the marketplaces, but not in the stores. Don't talk politics- Putin has turned Russia into a police state. Expect to be asked about Bush and the war, and expect negative opinions. Russians don't like anyone else being on top except themselves, and they never really got over the fact that they arn't a superpower any more. Don't argue about it, its just not worth it.
Unless you are a very large Irishman, don't get into a drinking contest. The average Russian got vodka with his breastmilk, and could drink just about anyone under the table.
However, most of the above goes for most of the non-english speaking world. If you're looking at going over there, do it for the experience. Its a facinating part of the world. I don't regret my trip over there at all. Just take all of the usual precautions that you'd take going to any foreign country. You know, get your shots, DONT DRINK THE WATER (In the Ukraine in 2002, they didn't have bottled still water, only soda water. Keep that in mind), be polite and respectful, don't piss off the locals, don't look down at the locals, don't complain about everything, don't piss off the police/govt officials, always know where the nearest U.S. embassy is, know where all of the other western embassies are, take alot of cash and travelers cheques, etc. Also, LEARN THE ALPHABET and a few words of the language. English is NOT widely spoken in that part of the world. That is changing, but Russian really is the linga franca of eastern europe. I cannot stress enough that you learn the alphabet. It has 36 characters, is mostly phonetic, and is the easiest part of the language to learn. I taught one of the people who went with me in a couple of days. In short, do not be the stereotypical American abroard. If your skin is thin, and don't like what I've said, get over it. American tourists have the reputation of being loud, rude, ignorant and constantly complaining. I know that most are not, but that is the perception. Deal with it. Australians have the reputation of being loud, drunk party animals that congregate in pubs to watch bizar sports. Well, I suppose thats mostly true.
My point is, do not conform to the stereotype, and you'll do ok.
Enjoy your trip. It will be a real eye opener. Go with an open mind, and see how another civilisation lives. Russia is not part of the West, and although it looks similar in alot of ways, it is really different. Like I said, I found my trip to the Ukraine facinating, and appreciated Australia alot more when I got home (hell, I was happy to be back in the UK. It was close enough to home for me).