the accepted first step is the one you have taken, CALIBRATE the monitor. The normal second step in the process is YES acquire something to calibrate the printer.
I have an old iPHOTO setup I have had for a long time. It allows me to make a known printout of colored squares and then the same system uses a spectrometer to read the actual color of the ink off the printout. The software will then generate a custom "profile" that is always used with that printer at those specific print settings with that specific medium and types of ink. The printer and that medium and that ink are now profiled as is your monitor.
From here things normally get easier and you can enjoy the printer printing what you have adjusted the image to on your monitor.
There are a few other niggling little things that can disrupt the process, like certain monitors profiling or calibrating WAY too bright... but essentially YES your next step is probably to look into something to profile your printer(s) and the different media(s) you commonly use. If your printers and preferred media choices are limited to just a couple, you might want to look into a service that does it for you by sending you instructions for printing the special chart, then you mail it back and they read it and send you the profile. Normally a very small few kb file.
Good luck. your are very close to getting a great system set up.
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MATT in NE_FL