Here's an honest framework for deciding.
There's no universally "best" method — but there might be a best one for your family. Ask yourself:
How much crying can you handle? Be honest. If you'll cave on night 2 of extinction, that's not a failure of character — it's useful information. Start with a gentler method and know you can always escalate later.
What's your baby's temperament? Some babies do better with a clean break (extinction methods). Others do better with parental presence (chair method). And some get more upset with check-ins because they want to be picked up (Ferber check-ins can backfire for these babies).
How much time do you have? If you need results fast — maybe you're going back to work next week — graduated or full extinction is faster. If you have time, gentler methods work just as well in the end.
What does your gut say? You know your baby. If a method feels deeply wrong to you, don't force it. Parental stress and inconsistency undermines any method. Pick something you can do wholeheartedly.
For more on what happens when training doesn't go as planned, see Sleep Regression While Sleep Training. For a gentler approach to night wakings, check out Night Wakings Without Sleep Training.