Printers Migration drivers and ports
For the Printer Migration
Server 2012 Print Management tool supports an export feature, this will export the printers, print queues, printer drivers to a print migration file. just go to print management > right click your print server > choose export. then take the file to you new print server and do an import.
you can access the print migration directly as well see the link below:
https://technet.microsoft.com/en-us/library/cc773832(v=ws.10).aspx
another option is to use the windows server migration tools:
https://technet.microsoft.com/en-us/library/dd379545(v=ws.10).aspx
here is a print migration guide:
https://technet.microsoft.com/en-us/library/dd379488(v=ws.10).aspx
as for redirecting the users existing printers, are the computers domain joined?
if so then I would use Group Policy Preferences to map new printers to their computers, set the default printer and remove the old ones.