had better = lepiej by bylo, gdyby/ lepiej niech../lepiej sie../ etc.
(it has a sense of recommendation or threat)
you'd better shut up (..before somebody else shuts you up)
I'd better shut up (..before I say something stupid).
you'd better quit smoking soon (because you wheeze and cough so badly).
your boyfriend is such a deadbeat. You'd better find yourself another one.
you'd better sit down before I tell you something sensational (so you don't fall over when you hear it)
would better - ???
dla niektorych to chyba to samo co 'would rather'. Zamiast 'wolalbym raczej' mowia 'wolalbym lepiej'.