Save a log file of what a batch files has done

So I have a batch file setup at work to run some backups once a day off our server. But I would like it to save a log file of what it has done, preferably with a date & maybe a time in the file name. If it just wrote everything that was displayed in the cmd window to a text file I would be happy.

Here is the batch file:
xcopy /C /E /V /I /Z /Y /D Z:\Signs R:\Public_Backups\Signs

xcopy /C /E /V /I /Z /Y /D Z:\Setup R:\Public_Backups\Setup

xcopy /C /E /V /I /Z /Y /D "Z:\Sets Here" R:\Public_Backups\Sets_Here

(I know not very fancy, but it gets the job done.)

Thanks

What server software are you using. Aren't their reports adequate?

What server software are you using. Aren't their reports adequate?

I have no idea what the sever is running, and don't know how to log into it. Was setup by the boss's son, and it runs so I don't screw with it.