With a new computer the Printer driver installed may change with the operating system.
You can copy Lightroom print templates from the 'global' location of Lightroom Settings- (old computer to new computer)
C:\Users\Your Name\AppData\Roaming\Adobe\Lightroom\Print Templates\User Templates
If you store preferences "with the catalog"- look there.
If the templates do not work correctly in the new system you will have to-
1. Select a template in the Print module. (copied from the 'old' system)
2. Re-enter the Page Setup dialog to confirm or change the printer properties in the printer dialog.
3. Right-click the Print Template and choose to "Update with current settings"