Condensing 2 routers

Hello, I have two routers currently. One is connected to my fiber connection from Verizon and the other is connected to the first router (the second router being placed in a seperate room). The second router is an Airlink101 150N Draft 802.11n Wireless Router, Model # AR670W. The first, and original wireless router, is an old motorola-based one. Despite the old one working perfectly, it's a -G based one and therefore not the amount of coverage I need for my home.

When I try to simply switch the original motorola one for the Airlink one, the airlink one does not give internet access. It will show on the network, will allow my 3 computers to connect to it, and act as if it is getting internet. However, when we go online, there is no internet connection. The airlink also shows there is no internet connection for the router.

I do not know what I am doing, to be honest, and would like any and all help I could get. Thanks.