Spring/shock problems

I recently replaced my front springs and shocks on my '95 Accord, and something is very wrong. Basically, when I hit at least medium sized bump, the shock seems like it bottoms out. Even on smaller but sharp bumps the same thing happens. While I don’t know that the shock is actually bottoming out, I get a loud bang with horrible shaking on the whole front end. This happens on both driver and passenger side wheels. I installed duralast springs and kyb shocks. I kinda suspect the cheapo springs. I was suspicious of the worn sway bar tie bushings, and replaced them. No difference. All I know is that something is definitely wrong. Any insight would be greatly appreciated. Thanks guys!