Ran across these two articles that helped me.
Powershell Move-Item logging
You may just need to collapse the output file descriptors. According to the about_Redirection page, it should work if you do the following:
Move-Item c:\temp\*.* C:\Temp\2014 -Verbose -Force *>&1 |
Out-File -FilePath $MyLogPath
Or if you want to see the output at the same timeMove-Item c:\temp\*.* C:\Temp\2014 -Verbose -Force *>&1 |
Tee-File -FilePath $MyLogPath