just got a 96 integra se and im not sure what to do about lower suspention.I dont know the difference between coil over and regular lowering springs.I see lots of cheap coil over springs on ebay .and regular springs from 25$- 200$ a set,whats best?  

It all depends upon what You want to accomplish.  If you just want the stock feel - Go with KYB GR-2 struts with H&R  or Eibach Sport Springs.
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For a more aggressive ride, your going to be reaching a little deeper into that pocket book.  Adjustable struts would be the next step such as KYB AGX or Koni adjustable struts which will allow you to dial in the firmness of your ride.  Next would be to get the Best of Coil Over Sleeves, Ground Control, IMO the next would be Omni Power or Skunk2.
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Finally if you wanna go all out.  There's endless brands who sell fully adjustable dampers.  These will allow you to take advantage of what your car is meant to do on the track or Auto-X.

Remember, too when you drop the height of your car your going to be affecting the tire life by the onset of Negative Camber also the reduction of the stroke of the strut.  To allevieate these problems Look into buying Camber kits for both the front and back and also buying extended upper strut mounts or commonly known as "Top Hats".  

I have a 94 GSR sedan that I just brought a week ago and I tell u this. THE SUSPENSION SUCKS!. Somebody have install no name brand coilover with tokico shocks. On every corner and bumps, it feals like the the car hits the ground hard. can u tell me what kind of suspention is recomded for my daily drive? I like to corner hard!