In general its better to take AdobeRGB as it has a wider color gamut - working for a printing company - for printing look out what the Print company is using... sRGB is more universally accepted and machines, printer & presses most of the time can not reproduce the color gamut of AdobeRGB then your better off with sRGB (most printer can not even reproduce the color gamut of sRGB) as you can do the conversation and not the manufacturer to see what you get...
AdobeRGB is better for reds and especially greens and the gradients...
For printing you use normally CMYK or CMYKXY, X can be e.g. lighter cyan, green; Y can be light magenta or red dependent on the process.
https://fstoppers.com/pictures/adobergb-vs-srgb-3167