While Bilstein offers this kit, why would you put it on a 10 year old Corolla? These are designed as sporting upgrades for the car. Stiffer, lower, more damping. Is that what you are really after? This is, in no way, a more plush ride. If you want to take the car autocrossing or hitting the twisty country roads for a spirited drive, go for it but install new mounts and jounce bumpers for sure. You can adjust camber on these cars with a “crash-bolt” kit to fix the additional camber you will get when you lower the car.
If you are looking to improve the actual ride of the car I’d suggest KYB struts all around. Should generally ride better and I like their quality. If your springs are rusty and/or broken, install new springs as well as new mounts, jounce bumpers and boots. These can be purchased complete with new springs mounts, boots ect, for an easy bolt-in installation. Probably a better option for you.
Or you can buy just the Bilstein struts for use with the Toyota springs. All that stuff is listed here on Tire Rack’s site