Welcome to Toyota Nation.
I drive a 1990 Corolla also and they are great cars, but i have the carburetor engine the 4AF not the fuel injected model like yours
Kwint has posted all the easy things to keep your car very well maintained.
Also,
if you get stumped by anything or are having problems with something on your corolla there are many people who frequent this site, so if you post a thread like this one you should get a reply quickly

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These corollas live forever and i mean that mine has done around 290k kilometers and is still running fine.
Enjoy Your corolla and Enjoy the forums and meeting new people.
If you wanna talk about mods that can be done to your particular engine Just send me a Private message, I'm more than happy to help other fellow corolla owners
Have fun
Greg
P.S: sorry bout the long post