Simplest way to copy only .log files, and then delete them?

[Chris Green]

I can see very complex ways to do this but I can't see a reasonably
simple way to do it.

I want to copy all *.log files from a directory hierarchy and then
delete them.  I want to preserve the hierarchy at the destination so
(if I ever need to) I can associate the log files with the place they
came from.

Is the only way to exclude all files and then include '*.log' files?

-- 
Chris Green
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