Trim chars from filename

Hi,
I have setup some rules to monitor my download folder for invoices.
Each rule matches on partial filename for a specific supplier and moves it to a specified folder.
But some of these suppliers prefix their PDF files: "Invoice 134.pdf" and I would like to rename the file to "134.pdf" after it has been moved.
I have successfully automated the movement of the PDF files with Hazel, but I still need to rename the files manually with a separate tool:

But I would love to automate that last part too.
Is this possible with Hazel or do I need to create custom scripts to accomplish this?
Thanks!
I have setup some rules to monitor my download folder for invoices.
Each rule matches on partial filename for a specific supplier and moves it to a specified folder.
But some of these suppliers prefix their PDF files: "Invoice 134.pdf" and I would like to rename the file to "134.pdf" after it has been moved.
I have successfully automated the movement of the PDF files with Hazel, but I still need to rename the files manually with a separate tool:

But I would love to automate that last part too.
Is this possible with Hazel or do I need to create custom scripts to accomplish this?
Thanks!