Quickest, most straight forward method is to connect the Verizon router's LAN to your router's WAN.

In most cases this will work fine and if someone goes wild and resets something, the system might continue to offer Internet access if you have not customized too much. It's not a big deal, but in order to improve this possibility, it would be handy if your router did not default to the 192.168.1.1 subnet.

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Last week Comcast support shot one of my customers in the foot by having them "reset" everything that they could find. In this case we were re-purposing the customer's old router as an access point. After the reset there were two DHCP servers operating in different subnets. Comcast indicated that it was our equipment that had failed when this was actually a support failure. The original issue was probably caused by a glitch on the Comcast side breaking communication between Comcast's modem and our router. A simple reboot would have "fixed" everything.

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This discussion, contained in the list of FAQ's that I gave earlier, lays out the various options.