Think of the 64-bit as "for future use".
Like Ian said, the 64-bit browser works but unfortunately other companies such as Adobe which makes the flash player plug-in, which provides most of the video clips you find on the web, and anti-virus companies such as Norton Symantec, which make add-in toolbars to stay active and watch for malicious code on websites, have not kept up with the times. Until you can browse safely and have full functionality in 64-bit it is best to run the 32-bit.