I have not used Zebra plate. If by “deal with the self calibration process” you mean how do you adjust the Z-offset to get the right starting height, there are several threads on here with information about storing a new z-offset in the firmware (here’s one of them).
You can also fine tune the z-offset from within Cura under the Machine menu, choose “Machine Settings”. By default, the number here is zero, which means just use the number stored in firmware. If you enter a number here, it takes the number stored in firmware, adds your entry, and uses the result for initial z height. A negative number moves the head downward, a positive one moves it up. So for example, my Mini came with the Z-offset set to -1.33. If I enter 0.1 in the z-offset box, I get -1.33+0.1 = -1.22mm for my z-offset (I’ve raised my z offset by 0.1mm).
Personally, I prefer to store the number in firmware, so th enumber is used no matter what computer I’m tethered to, or what software I am using to control the printer. However, the Cura menu selection is a handy way to make a quick change.