I use a Windows 10 PC and am a Registered user of CCleaner Professional Edition (Version v5.35.6210 (64-bit). When I use CCleaner I have to re-register my Home PC to re-access all my bill payer web-sites. Is there any way that I can configure CCleaner so that I no longer have to re-register my Home PC after I run this software?
If you mean you have to login again to bill pay sites it's likely a cookie issue.
See here for setting up your Cookies to Keep:
http://www.piriform.com/docs/ccleaner/ccleaner-settings/choosing-which-cookies-to-keep