Any hints on using a regular router with a Ubiquiti Bullet?

I am doing what you want to do. First set up the bullet using your computers ethernet port.

This link shows how to do that.

Setup static connection

Then configure the bullet as in this link.

Configure Bullet

Then reset your computer as per the first link. After you have an internet connection you just connect the Bullet to the same port on your router that the cable modem plugged into. Set your computer to use WIFI. No other changes should be needed.