Go here to download the Windows 7 edition you need in x64 version.
Windows 7 ISO – Official Direct Download Links
Following the instruction on the above link and you should be all good to go.
Your product key will work with the 64 bit so don't worry about buying an extra key.
Remember, ONLY one install per product key at a time. Either 32 bit or 64 bit, but not both.
Then burn the ISO image file with ImgBurn to a blank DVD.