First, this is an open forum for learning from each other so I would very much like you to confirm if this works in WordPress or not?
Second, the choppiness. Most likely due to limitation in speed of the Internet connection. Video use a lot of bandwidth.
If the cams are connected to the LAN with wifi, check the signal strengths. Check also the bandwidth to your internet provider.
Check this setting
Uncheck High Q. Also test Single and Mutli view refresh rate if that will be better. To stream 4 cams live you probably need more bandwidth for the Internet connection. Alternative is to slow down your dogs ;).
Also, I forgot. Four cams in high resolution usually takes a lot of CPU power depending on the processor. What is the CPU load of your computer?