Annika, the best way for me is printing in different profiles. The print is in CMYK, so it is important that your document is CMYK.
Also, when you about to print, take a second to analyze with which profile you're going to print. They are in the 'Print Window > Color Management.... you will see some options:
1. Color Handling: I always choose "Let Illustrator determine color."
2. Printer Profile: try different to see which one works better for you.
(This is for Adobe Illustrator)
I am hoping this tips can help you.
Warmly,
Jazmin.