here the things you really need, and i really urge, you to consider.
Lowering a car affects the entire suspension geometry. Lowering by that much can really work the suspension on odd angles it has not been designed for, and many companies (whiteline being the absolute standout australian company) develop parts that will take this into account and modify the geometry to compensate, while at the same time addressing other issues.
On my lancer, for instance, a single set of bushes will relieve a lot of strain incurred from lowering, and also give me added castor (faster turn in) and added anti-lift (reduces understeer on mid-corner acceleration).
Now, when lowering a car by changing the springs, your putting a much higher load on the standard shock absorbers. They are not designed for this, so keep in mind your standard shock absorbers will now be wearing out, at a much faster rate than normal.
This means your going to have to replace them sooner. MUCH sooner if your doing spirited driving. Also, every little TINY bump you hit at speed is going to be absolutely bone jarring. If you hit a bump mid corner, the shocks are not going to cope. You will have sweet FA traction once the tyre lifts off the road mid-corner, and your shocks just dont have the juice to push it back down quickly.
So in the long run, your looking at replacing the shocks anyway.
If you save and buy a matched set of shocks and springs, you can retain your original items, and thus may choose, at a future date, to put them back on the car if your new set is damaged in an accident, or you need to sell them.
Also, the brand of shocks and springs matter. I'd personally steer clear of the cheap brands such as pedders and KYB. You do get what you pay for, and the cheapest of the cheap have many KNOWN cases of things such as "spring sag", where over time the springs become less effective, and your car drops even lower.
KONI shocks, as suggested, are an excellent brand....
The number one best bang for buck suspension specialist in australia is, from my experience so far, whiteline. Not just because of their absolutely stunning technical support team, who answer all your questions even if your not a previous customer. Before starting the path to upgrades on my car, i spent a lot of time talking to various companies. Whiteline offer exceptional advice. Even dropping them a few emails was amazing, i simply suggested what i was looking for and they told me the suspension components that need to be changed. Only after my goals were established do they recommend what needs to be changed, and if they dont offer a part, they will recommend other companies who do.
They are used, and exported, all over the world. Look up reviews anywhere on the net.
That said, there ARE other brands out there. Koni, for instance...
The top level suspension manufacturers, i'm sure you've heard of. People like Bilstein, TEIN, etc etc...but these fall far out your budget. (4k for a full set of fully adjustable coilovers).
So, i'm asking you, what brand coils have you been recommended, do you know the spring rate, their travel, are they made specifically to suit your car, and your desired ride height? Can you please consider saving for shocks (costs you less in the long run, gives you more options, is safer).
If budget is your driving concern, no worries...but still, shop around.
Upgrading other components first (Such as swaybars (huge improvement on all commies) , castor bushes, etc etc) can sometimes offer a MUCH bigger bang-for-buck performance increase than a set of matched springs/shocks...although the matched set really is the pinnacle.
If your going for the look though, well

go nuts.
If your wanting to increase performance, consider the various other parts. Camber, anti-lift, toe, swaybars, castor bushes, etc.
Theres a crapeload of technical guides and info on the whiteline site, thats not even whiteline biased. Its good reading, at the very least.
I'm trying to point you towards a very solid technical knowledge base that you should at LEAST take advantage of for future reading (if not considering retail purchases). Those guys really do know their stuff.
So, anyway, long post, but i've made some points. I didnt mean to talk about whiteline so much, this reply is more about potential problems and issues. Look around, a few companies offer MATCHED sets of shocks and springs like they do, so shop. Find a good deal. But yeah, save that little longer for matched shocks, and not only will your ride look pimp, it will be 10x more comfortable, probably quieter, less damaging to your chassis/suspension components and handle better. edit : AND SAFER.
The best part is, all this work is kind of moot without good rubber. which is about $150+ per tyre. Yes, i can see you cringing