I've been down the extreme suspension rode in the past. If your corolla feels as good as mine does stock, don't touch the springs and struts. It could benefit from some good sway bars... Something more along the lines of whiteline or Cusco... Trd is going to be a compromise of what can be fully achieved.
The stock dampers on my 2014 L out perform everything my buddy and I have vetted on our course. I can provide a semi complete list, I am sure I can't remember everything. Basic range I guess is sti inverted struts and stock spring. Ground control coils on gr2s 16way adjustable coilovers and adjustable swaybars. Bmw 550 stock suspension. Porsche 944, Lexus sc400, mk4 Jetta, anything Subaru... Etc. The corolla handles so well out of the box we can't believe it. The damper rate is spot on. It is super flat through hard corners and you do even feel any kick back from the rough bumps. That's one of out main tests, a high speed right hander with a mid Apex bump. It often makes a poor suspension set up feel... Lively. Not something you want to hammer in your mk1 mr2. Blasted the Rolla through and felt nothing. It out performs the BMW. I know you all want to lower for some looks but I would recommend talking to a true specialist who can actually match a spring. Teins and trds are just going to end up spoiling what is ultimately one of the best factory suspension set ups I have gotten to try. I am looking forward to doing some autoxing. The previous owner already tracked it a few times on the stock suspension. This is extreme praise. Do not ruin your car.. it is an actually amazing set up.