You can sync call logs between Macs with "PhoneLog Pro" and iPhones or iPads with "PhoneLog for iPhone & iPad", or any combination of the two. There are two methods that you can use:
Syncing using Apple's iCloud is not supported at this time, but is a possible future enhancement. Please send a feedback email if you are keen to see this capability implemented.
For technical reasons there are some limitations and some PhoneLog features that are not available when syncing: