Platforms for a small, programmable camera + wifi?
Your best bet is the Raspberry Pi 3 Model B.


It's just as easy to use as the Zero, but easier to find
Its first-party camera is excellent and has simple libraries
It has onboard powered USB ports for webcams
A subminiature "Spy Camera" and low-light camera are available
It has a Wi-Fi and Bluetooth module built right onto the board


The Zero is better for size-constrained applications, but the full-featured Pi 3 seems better for this project.