There are tons of springs to choose from for an Integra, there is no reason to ever cut a spring for a car. If you cut them, it changes the whole spring rate profile, which can be a very bad thing. Springs are designed around a certain spring rate, height, etc., and if you cut them you throw all of that out the window. Cutting springs is ghetto; you'd be better off getting a cheap set of springs with the drop that you want than destroying a decent set of springs by cutting them.

If you're worried about ride quality, get springs that have the setup you want. You can get really stiff springs and really soft springs, and anything inbetween. You have one of the most common cars out there for spring choices; pretty much every spring company makes at least one type for your car. Just for clarity though, there are only a few spring makers, all the rest of the companies get them from one of those and slap their logo on the box. Colors change too.