It is not your "choice" that produces a universe, but quantum events (in a certain philosophical view) which might affect your choice, but are not affected back. To apply a notion of causation from your consciousness to matter is backwards, and leads to all sorts of "The Secret" and "What the Bleep do We Know" verifiably false mystical nonsense. This is a level mixing--- the notion of causation at the level of consciousness, where the entity is data and computation, is different than the notion at the level of atoms, where the computation has not emerged, and must always be presented with a non-chaotic path through the atomic chaos in order to continue.
It is not clear exactly how meaningful parallel universes are. If you don't ask this by asking "what do I see if I do this or that?" you can easily ask nonsense questions. This is logical positivism.
In positivist terms, the parallel universes amount to little more than the statement that quantum mechanics allows for more parallel computation than classical mechanics, and certain classes of counterfactual measurements can be made in quantum mechanics (like the Elitzur-Vaidman bomb tester/Vaidman counterfactuals) which cannot be made classically.
The notion of consciousness is computational, and we don't know exactly how it is embedded in the physical description. This is the issue with both mysticism and quantum mechanics, at least in the Many-Worlds/Consciousness Causes Collapse/Decoherence interpretations, which deal with the issue of quantum mechanical observers. In order to say that worlds collide, or that your consciousness is the same in two parallel universe, in a positivistic way, you need to know how consciousnesses "chooses" to go along different paths, depending on which paths "exist", and these questions require you to identify consciousness in the world, and to answer certain questions about existence, questions which are probably meaningless, because they are hard to formulate in a positivistic way, as questions about "what do I see if I do this or that?"
To show you some of the difficulty, consciousness is a computational entity that is not necessarily confined to your body--- some parts of your consciousness might be in interactions of yourself and others you know or read, so that certain aspects are dormant until the right combination of other computing parts are present. If you view yourself as but a part of a larger computation, it is not clear that death is so important, since the computation keeps going in others. If you write a book, others can emulate you, if you read a lot of Einstein, you get to know Einstein. So is Einstein dead? I don't think so, not entirely.
Einstein, when facing death said he was not afraid of dying, since he felt his own internal life was sufficiently connected to the rest of the world, that it would not be much of a change. It is not clear where your soul-stuff is, because it is computation, it is software, and software is pattern, without mass, and doesn't really have a place. Most of the generative stuff is in your head, but that's not everything, because you might have external notes (like the guy in the movie Mememto), or books, or google, to look up things you forget. The whole computation is bigger than the individual, and it might be more accurate to place the source of our experience in the big collective rather than in our individual heads. This is the position of certain religious faiths, and it is not a question that is easily adressed by positivism or by science.
The above is a long-winded way of saying that this is more philosophy than physics, but you can get insight about this, as about everything else in philosophy, using logical positivism. Rudolph Carnap is a place to start, although I don't read him, or any other philosophers.