The first thing that needs to be addressed is the vibrator. The wires it comes with aren't compatible with any breadboard and will be useless unless we change something. Leads of solid wire need to be attached to the vibrators leads.

The addition of these leads is done by soldering solid core wire to the wires coming off of the vibrator. The amount of solid core wire is based on what your needs are, because the length doesn't affect how the vibrator will operate.

After that, heat shrink a case around the two recently soldered wires to protect them. This can be achieved by placing a casing over the wires, and applying heat from a heat gun until the casing shrinks around the wiring.

This change will make the vibrator easier to connect with the breadboard. The red lead on the vibrator is the positive side where power should flow into, and the black/blue wire is the negative end, where power should flow back to the Ground.