What kind of amp and subwoofer do I need?

Okay, I barely know anything about cars so. I wanted to know ehat kind of amplifier and subwoofer would i need for a 1998 Honda Civic 2 Door Coupe EX. Is there a certain kind i need. I don't want to purchase one thats blows the windows out the car either?

It doesn't take much to add a good amount of boom to a stock radio/speaker system - if that's what you're trying to do.
A basic 10", small sealed box, and a 200-300w rms amp would do it.
There's plenty of bottom-feeder level equipment you should avoid. For example, don't think you're going to find a decent quality sub for $30. The worthwhile subs will be $50+.
Same with amps.

MB quart makes a good budget 10. The RWM series. They go for about $60 and work well in small boxes. A basic sealed box can be found for <$40.
Hifonics makes good budget amps. The brx160.2 for example will do around 300w rms for $65.

Those are just examples. There are a lot of brands that make decent entry level (entry price) equipment.
You'd also need an 8 awg amp kit.
Installation costs -- who knows? I would think $100-150 range.

Try 2 12 Kicker CVX. Both 750w rms each. Plenty of power. You can find a good pair for a decent price on ebay. You get what you pay for. As for ampliifiers, try Hifonics or planet audio.