In a tornado the winds move inwards and upwards in a circular fashion.

In a downburst the wind travels downwards and outwards in straight lines.

Also, unlike a downburst, a tornado travels across the ground, producing a path of damage.

Not really. Both a tornado and a downburst are high-wind events that occur during a thunderstorm, but that is where the similarity ends. A tornado is a violently rotating vortex of wind in which air spirals inward and then upward. They are often made visible by a distinct condensation funnel. They can produce far stronger winds than a downburst.

A downburst is an intense straight-line wind event in which rain-cooled air travels rapidly downward and outward with no significant rotation. There is no condensation funnel.

No. Downbursts generally do not spin.

Seek shelter in a sturdy house or other building. Stay away from windows.

No. A downburst produces winds that violently descend from a thunderstorm.