Unless you're one of those that need to run Java applets, I don't see the issue. I used to have issues with the Android SDK and 64-bit Java on Windows, but those seem to be resolved lately.
If you're doing development, well then shame on you for not already knowing what you need. You also probably won't want the JRE, you'll want the JDK, which doesn't come with the shovelware anyway.
If you're a developer and you just need to run some Java utilities, then you'll probably be fine with the 32-bit JRE.
Basically, if you really need the 64-bit version, you probably already know it.