Front end started vibrating

There are lot of things that could cause something like this. It is most likely something worn out or loose in the suspension or drivetrain on the front.
I would jack up the front of the car and look under it, then try to move the wheel and tire back and fourth and up and down. There should not be much movement. If there is then you might have a bad wheel bearing or tie rod end.

A bent wheel rim or tire can cause that as well.