Plug in stepper motors for X, Y, Z, and E in positions Xm, Ym, ZAm, and Em
Insert hotend heater wires into screw terminals E0 (PC8)
Insert bed heater wires into screw terminals HB (PC9)
Plug hotend thermistor into TH0 (PA0)
Plug bed thermistor into THB (PC4)
Plug part-cooling fan in to FAN0 (PC6)
Plug hotend fan into FAN1 (PC7)
Note that if you are using a 5V fan (typically supplied with V0 kits), you will need to remove the red-wire from the JST connector, and insert it into a 5V source (e.g. on pin 2 of Z-probe connector; see pinout below). Otherwise, you will burn out your fan immediately.
Plug X end stop into X-STOP (PC0)
Plug Y end stop into Y-STOP (PC1)
Plug Z end stop into Z-STOP (PC2)
Wire 24V and -V from DC power supply to VIN and GND
Connect USB Cable to your SKR mini E3, but do not connect it yet to your Raspberry Pi