PuTTY stores your customizations (IP-addresses, user-login information, colors) in the Windows registry's "CURRENT_USER" area (settings applying to you when you log in).
You can save those settings to a file (export) and restore (import) them on any Windows machine you use. To do the export, you use the
regedit command, usually from a console window.
regedit without parameters runs a graphical user interface which makes it easy to navigate to this tree
Right-click, export to file, e.g.,
To import, you need only "open" the file from your desktop. You can also use
regedit, but that is a needless step.