32-bit or 64-bit? Need help choosing!

I am currently running Vista 32-bit on my laptop. I pretty much know what the difference between 32-bit and 64-bit is, but I don't understand the technical aspect as well. I followed Microsoft's lead to find out whether my computer is 64-bit capable or not, but upon following the instructions, some of the menus from my computer were missing, so I was not able to deduce whether or not I would be able to run 64-bit. Here are my specs:

Dell XPS M1530
Intel Mobile Core 2 Duo T9300 @ 2.5 GHz
4.00 GB RAM
256 MB Video Card

If I can indeed run 64-bit, would you guys recommend me to? From what I heard, 64-bit is designed to handle larger RAM more effectively. My question is, is 4.00 GB considered "larger"?

Thanks for the help!

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