Hello folks,
To clear things up, here are the file systems used by Apple:
MFS a.k.a. Mac File System (1983-1985).
HFS a.k.a. Hierarchical File System a.k.a. Mac OS Standard (1985-1998) defunct since macOS Sierra.
HFS+ a.k.a. Hierarchical File System Plus a.k.a. Mac OS Extended(1998-2017) introduced with Mac OS 8.1.
APFS a.k.a Apple File System since March 27, 2017 introduced with iOS 10.3 and default filesystem on Macs sold without Fusion Drives.
Regarding the partitions:
GPT: GUID Partition Table used to start Intel Macs since their introduction in 2006 and what you should use.
APM: Apple Partition Map used to start PowerPC Macs since their introduction in 1994.
MBR: Master Boot Record used on Windows and DOS PCs.
Sources:
https://en.wikipedia.org/wiki/Hierarchical_File_System
https://en.wikipedia.org/wiki/HFS_Plus
https://en.wikipedia.org/wiki/Apple_File_System
/Applications/Utilities/Disk Utility