copy a bunch of rile, then delete from source

Hi,

    Here is what I want to do:

- Copy a number of files (using a wildcard, like logapplication*.tar.gz) 
from one server to another
- Once done, I want to delete the files from the source server.

The first step is easy to do... ssh keys, cronjob, and scp.  However, can I 
be sure that the file has been copied successfully?  I thought of comparing 
md5sums source/destination before deleting the source.

Could rsync be of help?

Regards,

Ugo