You can use Printbrm tool to migrate print queues, printer settings, printer ports, and language monitors from one print server to another. By default this tool is located in C:\Windows\System32\spool\tools location.
Run the following command on the current print server to export printers:
Printbrm -s \\CurrentServer -b -f PrinterSettings
Then run the following command to import printers setting onto the new server:
Printbrm -s \\NewServer -r -f PrinterSettings