The location of the Steam folder does not matter.
That folder called "Program Files (x86) is just a name, for compatibility sake. It has no special "32bit" properties.
Leave the Steam client where it is.
You can have your Steam games installed anywhere.
Steam games location
In the steam client:
Steam
Settings
Downloads
Steam Library Folders
Add library folder
To move an already installed game
Games library
Right click the game
Properties
Local Files
Move Install Folder