i would search the web and espcially the printer manufacturer, alot of them have in house software to calibrate the rpinter to the screen
Unfortunately, those rarely make for a great match with the screen and they typically recalibrate the printer to the kind of paper being used. The best option is to use a calibrator to scan the prints and then the screen. The color processes are too far apart to ever fully reconcile without it.
What software you're printing from (whether or not it's able to override the printer's standard ICC color profile) and what paper you're using will also make a difference.
I could get very technical on this subject, but I'll stop my nerd-speak here.