Registers: 8 bit: A, B, C, D, E, H, L, F, I, R, 16 bit: SP, PC, IX, IY, and shadows of some 8b registers: A', B', C', D', E', H', L' and F'.
Most of the 8 bit registers can be used also in pairs as 16 bit registers: AF, BC, DE and HL.
SP is stack pointer, marking the bottom of stack memory (used by PUSH/POP/CALL/RET instructions).
PC is program counter, pointing to the currently executed instruction.
I is Interrupt register, supplying high byte of vector table address for IM 2 interrupt mode.
R is refresh register, it increments each time the CPU fetches an opcode (or opcode prefix).
Some unofficial instructions exist on some Z80 processors to manipulate 8bit parts of IX as IXH:IXL and IY as IYH:IYL.
Shadow variants can't be directly accessed by any instruction, the EX AF,AF' instruction will swap between AF and AF', and EXX instruction will swap BC,DE,HL with BC',DE',HL'.
Loading value into a register:
; from other register
LD I,A ; copies value in A into I (8 bit)
LD BC,HL ; copies value in HL into BC (16 bit)
; directly with value encoded in instruction machine code
LD B,d8 ; 8b value d8 into B
LD DE,d16 ; 16b value d16 into DE
; from a memory (ROM/RAM)
LD A,(HL) ; value from memory addressed by HL into A
LD A,(a16) ; value from memory with address a16 into A
LD HL,(a16) ; 16b value from memory with address a16 into HL
POP IX ; 16b value popped from stack into IX
LD A,(IY+a8) ; IX and IY allows addressing with 8b offset
; from I/O port (for writing value at I/O port use "OUT")
IN A,(C) ; reads I/O port C, value goes to A
Correct combinations of possible source and destination operands are limited (for example LD H,(a16) does not exist).
Storing value into a memory:
LD (HL),D ; value D stored into memory addressed by HL
LD (a16),A ; value A into memory with address a16
LD (a16),HL ; value HL into 16b of memory with address a16
LD (IX+a8),d8 ; value d8 into memory at address IX+a8
LD (IY+a8),B ; value B into memory at address IY+a8
; specials ;)
PUSH DE ; 16b value DE pushed to stack
CALL a16 ; while primarily used for execution branching
; it also stores next instruction address into stack