dither
Meaning: to be indecisive
Usage: Not wanting to offend either friend, he dithered about which of the two birthday parties he should attend.
vacillate
Meaning: to fluctuate, hesitate
Usage: I prefer a definite answer, but my boss kept vacillating between the distinct options available to us.
waver
Meaning: to become unsure or unsteady
Usage: The candidate wavered before choosing which college to attend.
falter
Meaning: to hesitate or lose confidence
Usage: Nina began to falter when the debate question became more difficult.
equivocate
Meaning: to avoid giving a clear or direct answer
Usage: The witness tried to equivocate when asked who had opened the locked cabinet.