The particles that make up your will have a probability of being in a certain place according to some rules. When you move, the particles "disappear" from one place and "appear" at another place. Do you know they are the same particles? Does it matter?

Does it matter more that there's no duplicate particles (ie. no changes of a copy being made)?

In that case, you could device a teleport machine that makes sure to read the state "bit by bit" (particle by particle), then destroys the original particle before creating a new particle in another location. How different would that be compared to what's normally happening to your body?