Verizon is DSL and still uses a phone line, so you have to have the userid and password information.

Turn off the PC, unplug the old Verizon modem.
Plug the phone line into the new modem.
Plug the PC into the new modem using the supplied ethernet cable.
Turn on new modem. Turn on the PC.
Open a browser window and go to the URL (website address) that is on the sheet of paper that came with your new modem.
Enter the userid and pw and the it will ask you a couple questions.
The Internet light on the modem should come on full green.
Then click on the wifi part of the same screen and enter the WEP password that is on the bottom of the modem (or on a sheet of paper).
The wifi signal should come on.
Then disconnect the enternet cable and go to your wifi on the laptop or kindle. You will look for the ESSID number (name of your wifi) in the list of available networks, enter the pw and that should be it.

I have the same one at home