TFF said;
"We can surely move data to the computer. But will we be able to move ME into the computer? I'm guessing not."

If science were advanced enough to provide a 'atomic-structure-map' of your entire body and if we could create a program that simulates atoms and their rules we could 'build' a copy of you into that world and your copy would breathe the simulated air of that world and act just as you would if you were to suddenly 'appear' in a place like that. It may say; "how the hell did I get here?" and think it's going mad (if that's what you'd do) If it is a very accurate model it would probably act EXACTLY as *you* would. But, in answer to your question; "will we be able to move ME into the computer?" The answer is no, being specific, it would be a COPY of you.