In full agreement with Locke. It can be done, though it may get confusing at times -- and it's more a question of where you are in the different languages you are learning. langauge learning is a constant process, so if you take the leap into learning multiple languages, then there are always going to be some that you are behind on and some that you are ahead on.
I have 10 languages on my have-studied list, 7 that I could say I have quantifiable ability in, 5 of which i consider to have some kind of actual
functional ability in, but they're all in different places at different times. For example, a few years ago, I spoke excellent russian, but i have been living in hungary and, while my hungarian is better, my russian is quite rusty. i also agree with locke that the only time i've really had major trouble learning more than one language at once was when i was doing similar levels at the same time in college, of two very different languages -- saying "Hai!" in Russian class and "Ja ne znaiu" in Japanese class.
One last point, since you mentioned russian and the non-roman alphabet. Definitely don't let that be the challenege that keeps you from trying russian. The alphabet is actually surprisingly easy to learn. Think about it - you are so seriously limited in what you can do in the language without it, that you have to get over that hurdle right away. In graduate school I taught russian and my students routinely learned the alphabet within 3 days. Many of the letters are the same as English, so it's just a question of 1) keeping straight the ones that look the same but sound different (or vice versa) and 2) memorizing the ones that look like nothing you've seen before.
On your list of three, I would definitely plug for Russian. Once you get russian under your belt, you can pick up the south slavic languages (e.g., serbian, macedonian) as easily (or possibly even easier) than you picked up Italian after french. the west slavic languages (czech, polish) involve only slightly more effort than that after you know Russian. The Slavic family is just as closely related as the Romance family.
So, that's my $0.02.
(coming from someone who says that there are no languages I don't know, just ones I haven't learned yet. :wink: )