@yoji: I would like to be able to copy my files, settings, programs, etc to the new computer. On my current computer, I have a bunch of programs with settings that I would like to be able to keep. However, I don't see how this could be possible since the software is developed differently for 32-bit or 64-bit operating systems...
Sorry - you are asking too much... Windows settings and your files/data can be done.. but if you expecting all your installed programs and all their settings... thats a step too far. By installing the apps on new.. I would have a good chance of success in getting settings etc copied over for many apps.. but it would be a real PITA and really (for me) not at all worth the hastle. I did it for a couple of my wifes key apps when I moved her machine to 64 bit.. but in general.. the answer to your question is "no... not everything".
In general - as you seem to recognise .. you need to "install" the app on the new 64 bit machine.... once you done that.. you can think about copying over old settings etc.. which can be easy for some (e.g. iTunes I think...).. but some games, Starcraft 2 or WoW can just "drag and drop their folder to the new PC" and will work.
But your simplistic request to just magically copy all your programs/data/settings for everyting is a bit much to ask.