Comprehensive.
A comprehensive insurance policy would probably cover damage as described. However, the deductible and potential premium increase for making a claim might make it more advantageous to not make a claim.
Your garage insurance should be covered by home owners insurance or renters insurance. I am not sure you would need liability insurance in a garage though, because no one else would be hurt in there.
No because that would count as a collision. Comprehensive insurance covers anything that's not considered a collision: a tree falls on your car, impaled by hail stones, gets stolen, gets vandalized, gets on fire, acts of God, someone backs into your car and takes off, those sorts of things.
The car must have its own comprehensive insurance coverage for this type of a loss. The only exception is for car parts that are not attached to the vehicle at the time of the loss - such as stored tires and wheels.
A person can find garage liability insurance through their business insurance provider. There are usually several insurance providers that specialize in small businesses.
There are many reputable insurance companies that provide garage liability insurance. Progressive, State Farm, and Geico are all good companies and can assist you.
Garage lifts are something that you have seen at your local oil change place. They are the car lifts, that they use to lift your car high enough that they can stand under it in order to work on it without the risk of the car falling and injuring someone.
Auto Insurance.
it is covered by your home insurance
Insurance for a garage can be obtained by any company who offers insurance for your home. Some places to start looking include Garage Netquote, Progressive, and State Farm. All can be researched online or may contact their local offices.
Garage keepers Insurance is Insurance for any comapny that works on people cars. Like, Auto Body Shops, Mobile mechanics, and so on, more info at http://garagekeepersinsurance.blogspot.com/