Using more then one Router

[#1]

I have 1 computer hooked up to the Actiontec Router that was supplied by Verizon when they installed my FIOS internet.  I wanted to hardwired another computer in my house so I bought another Actiontec Router online and hooked it up to another computer in my house. Now I am having difficultly connection on both computers and get booted off the internet often after I am connected.  Did I do something wrong when I connected the second Router? Do I need to let Verizon know I am using 2 Routers? 

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[#2]

how is the second router hooked up? How many devices are hooked up to for fios router? Is the second one have DHCP enabled? 

[#3]

Why are you using a second router?

[#4]

Coax intoouter, Ethernet to computer. Only the one computer. Not sure what DHCP enabled is?

[#5]

Want my two computers in house hardwired. Getting another router was cheapest way to convert from Moca to ethernet.

[#6]

If you have available lan ports on your first Actiontec, why not go directly to your second PC? If you want to use the second Actiontec as a hub maybe this will help you;

http://www.broofa.com/blog/?p=122