So you would like to make your own nanny cam? The Zetronix Nano Pro 1080p Nanny Cam Kit has you covered. It is a tiny pinhole camera that converts any object into a hidden cam. It comes with WiFi connectivity, so you can watch and record live from your phone.
This camera has 1-year standby life. It has a 78-degree lens with a low-light sensor. You can find out more about it here.