coax
Definitions
To persuade someone gradually or by flattery to do something.
To manipulate or maneuver something carefully into a particular position or state.
Examples
She managed to coax the frightened kitten out from under the porch with a piece of tuna.
The salesman tried to coax me into buying a more expensive model than I had originally planned.
He gently coaxed the engine to start after it had stalled in the cold weather.