I not an expert by any means so take any advice I give with a grain of salt.
I do not know how good of a driver you are and how familiar you are with the corolla. Personally I'd recommend first replacing the 20 year old bushings. That in itself will make a huge improvement. The prothane urethane kit is fine, you do not need to dig deep into your pocket for the trd version. However if you go the heim-rod way of course you won't need the bushing kit. However depending on your familiarity and skill, I might suggest you try the rubber/plastic bushings before you upgrade to heim rod.
I personally wouldn't bother with the sway bars, as what I've seen on the market, I do not see anything worth buying. (basically cost effective, the cost does not meet the benefits)
Coilovers, you have a decent selection. T3, Battleversion (if you can find one), Paradise Racing, Megans, Greddy, DG5 (BALLER!), TechnoProSpirit, and tons of various japanese works products, or... you can make your own. Not that difficult if you have access to a welder. If you want to know how to make it, let me know and I'll tell you how. Pretty much they're all the same. They all do the same stock strut conversion, weld on the sleeve, and put on a choice of springs and dampers. I personally like Swift springs. I do not like the AGX dampers. (T3 uses them) I personally feel they're really weird for the corolla, but of course if you're budget oriented, you might have no option. Which is why I recommend the make it yourself route. I personally recommend HTS or the TRD's. Cost alot more, but really nice. If you have the money, you can even shell out for Ohlins or something better.
If you're also getting a 4 link, try to compliment it with some tension rods. That way the front and rear will both be consistent. I'm personally waiting for Alex (battleversion) to remake and rerelease his tension rods. If you do go that route, and get camber plates etc. you won't 'need' nrca's, you can just get rca's.
There is also the option of traction brackets. I personally do not like the way they feel. It's preference. You might like them. Try to see if anyone has them and ride their car before you spend the money.
Also a bit of additional help, you can pour urethane foam into your rocker panels etc, into the various cavities. The rigidity increase from what I remember was about 40% compared to a roll cage.
You have alot of options and different approaches. If you need more help let me know, and I'll do my best to help you out.
Honestly since you say you're a 'newb' I really just recommend, replacing those blown dampers, replace the worn out bushings, refreshen the car, and learning on that first before you make the upgrade to nicer suspension. I personally feel you'll get a better feel of the car that way, then to jump straight into a built car. (It will be alot harder compared to a built car, but the feedback you get of the cars behavior is priceless I think.)
Also don't forget to rebuild/replace that LSD. If you want, I have the FSM, and I can give you the part numbers for the clutch packs in the stock LSD. You can rebuild it with thicker packs and have the same effect as a TRD LSD for half the price. T3's LSD rebuild kit is just exactly that, they're selling you the thicker clutch packs that you can buy from Toyota all at once instead of having to find all the part numbers.
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