lead acid
Auto batteries are batteries made for use in automobiles. They are large and square and typically cost upward of fifty sollars at the minimum. They do not need replacement for several years.
they use rechargable batteries
Almost all car batteries are "lead acid" type batteries. These type of batteries use thin lead plates and are immersed in Sulfuric acid which acts as an electrolyte.
These cameras use rechargeable Lithium Ion batteries. The batteries are not a standard size such as AA batteries, but additional batteries are available from Sony and other manufacturers.
Depends on the Toshiba remote. Generally remotes use AAA batteries.
They use 2x AAA batteries.
AG13 batteries are alkaline batteries. They are the button type of batteries that can be used in various devices. The most common devices to use ag13 batteries are watches, calculators and medical devices.
The most popular digital photo frames use built-in rechargable batteries.
P80
Double A Batteries.
Most active 3D glasses use lithium batteries. They are the smallest batteries currently available for this type of application with a high energy storage for their size. They are not user replaceable normally but as they are rechargeable, this shouldn't be a problem.
The durability of camera batteries depends on the manufacturer and type of the batteries you use. I would ask your local camera store which battery is best for you.