check your oil, be nice.
use toyotas red antifreeze if your gona flush.
check your plug wires for corrosion, as well as plugs.
check ALL fuses to be sure your operational, all signals lights and headlights are flipping up right.
check your air cleaner!
not a bad idea to go over all vacuum lines for leaks. check all rad hoses for breaks or cracks. top off your power steering and make sure its bled nicely.
check your brake fluid level.
run error codes.
check all belts for wear.
check for any obvious oil leaks.
lots of stuff you can do... just take it slow and do stuff right. and these cars will treat you right!
good luck and have fun, and remember if you get stuck, search or ask questions online.
and check out the tsrm for all info:
http://www.cygnusx1.net/Supra/Library/TSRM/MK3/
and dam lets see some pictures!!!