So, what are you actually planning to use Java for?
I was checking out that link you mentioned, and honestly, those versions are geared toward developers building Java apps... not really for the average person just trying to get things running. This one here is more for regular users
https://www.java.com/en/download/If you need it for stuff like web portals or online banking and all that...
The installer you download is pretty tiny, but don't let that fool you—it'll reach out to the internet to grab everything else you need before it actually installs anything.
On the link I sent, it won't even bother asking whether you have the 32-bit or 64-bit version
The whole deal with 32-bit (x86) versus 64-bit (x64) basically boils down to the fact that 64-bit is just the standard now. It wasn't such a big deal back in the day, but we made the jump because 32-bit couldn't address more than about 3.2GB of RAM—you know, that working memory on your motherboard... we really only started moving over once processors could actually handle a 64-bit operating system, like Windows.
It’s been at least a decade-long transition... it was slow at first since plenty of apps didn't support 64-bit yet, so people just stuck with 32-bit for a while longer, but nowadays you just go straight to 64-bit. Some 32-bit apps might run fine on a 64-bit system, but others won't... usually drivers or software that's deeply tied into how the OS functions. For something like banking, if you're running a 64-bit OS, you're definitely going to need the 64-bit version.
If your computer is at least five years old, there's a 95% chance you're already on 64-bit... it would probably help if you told me which version of Windows you're running so I can walk you through how to check.
EDIT
Just so the URL doesn't confuse you—both sites are owned by the same people. Oracle.
Java used to be owned by Sun Microsystems, but then Oracle bought them out and rebranded all their products under the Oracle name. The link I gave you is legit and safe. 🙂