Pet Cam Viewer / Recorder

Hello, I have a computer running Arch Linux and Logitech C270 web camera. I would like to turn the computer into a pet monitoring solution for free. I am looking for a program that will do the following:

1. Capture and record video from the web camera.

2. Settings should allow me to record video each day between certain times, and only keep videos for 5 days at most before overwriting.

3. Should have the capability to stream via web service so I can monitor remotely (alternatively, is there a linux version of remote desktop?)

Thank you!