What is going on with our internet?

[David]

Recently, as in maybe three weeks ago, our old router died and we ordered a new one from Verizon. We plugged it in and immediately had problems. It would randomly disconnect, we'd fix it, and it'd disconnect again a day later. My father purchased an Asus router in hopes of better results. We could all connect wirelessly, but all of our wired connections were going haywire. We called up Verizon and gave their router a try again, and the guy reset our IP address. It worked fine for a small period of time and then began randomly booting us off wireless. The PS3 won't connect, and all the computers can't recognize the network (even though we have). Right now, I'm on wireless. Literally two minutes ago I was wired, and now it says I'm "limited" and switched me to wireless. What's the reason? This is infuriating to me and my dad.