The three-letter words
There are 972 of them, which is too many to sit down and memorise as a list. It is also the wrong way to learn them, because most of them are not new.
736 of the 972 are one of the 96 two-letter words with a single letter hooked on the front or the back. Learn the short list properly and three quarters of this one comes with it — which is the real argument for learning the short list first, and it is a countable argument rather than advice.
The 236 that are left are the ones worth actual effort. They share no two-letter word with anything you already know, so no amount of hook practice will turn them up.
ACE ACT AFF AFT APT AUK AVA AVE AVO AZO
BRA BRO BRR BUB BUD BUG BUR BUY
CAP CEE CEP COB COG COL COO COT COZ CRY CUB CUD CUE CUR CWM
DAK DAP DIB DIE DIG DIM DIP DRY DUB DUD DUE DUG DUI DUO
EAU EBB ECU EGG EKE EVE
FEE FEU FEW FEY FEZ FIB FIE FIG FIL FIR FIX FIZ FLU FLY FOB FOG FOU FRO FRY FUB FUD FUG FUR
GAP GEE GEY GIB GIE GIG GIP GUL GUV GUY GYM GYP
HUB HUE HUG HYP
ICE ICH ICK ICY ILK ILL IMP IRK IVY
JEE JEU JEW JIB JIG JUG
KEA KEG KEP KEY KIP KIR KOA KOB KOI KUE
LEA LEE LEG LEI LEK LEU LEV LEY LEZ LUG LUV LUX
NIB NIL NIM NIP NIX NTH
OAF OAK OCA OIL OKE OLD OLE OOT OUD OUR OVA
PHT PLY POI POL POT PRO PRY PUB PUD PUG PUL PUR PYX
QUA
RAJ RAP RIA RIB RIG RIM RIP ROB ROC ROT RUB RUE RUG
SAC SAP SAU SEA SEC SEE SEG SEI SEW SKI SKY SLY SPY SRI STY SUB SUE SUQ SYN
TEA TEE TEG TEW THY TRY TSK TUB TUG TUI TUX TWA
UGH UKE ULU URB URD URN
VAC VAU VAV VEE VEG VIA VIE VIG VIM VUG
WAP WHY WIG WIZ WRY WUD WYN
YIP YUK
ZAP ZEE ZEK ZIG ZIP ZOA ZOO
The 236 three-letter words that are not a two-letter word plus a hook.