A hot water bottle or jar or warm water wrapped in a ravel free cloth will also provide warmth. Stress is the biggest killer, so keep the animal away from people and noise. Darkness is safety to them. Keep away from TV or radios, keep your car radio off when transporting. It is not true that a wild mother animal will not take her babies back after they are touched by humans.
Bats are the only flying mammals.
There are no vampire bats in this area. Do not move a bat in the dead of winter. There is nothing for them to eat and freezing temperatures will kill them. Bats are known to carry rabies but not all bats have rabies. Use very thick gloves or welding gloves to protect yourself.