you would find a wiring harness for your tc and snap it into the existing harness coming from the car. that harness will convert the wires from toyota's color codes to the standard colors such as green, white, violet, yellow for power, black ground, etc...
then you would match the colored wires of the headunit with the harness and solder or crimp them together. slap on the dash trim ring etc and your headunit should be done.
for the sub/amp--
run RCA's from the wiring kit from the sub outputs on the headunit to the trunk.
tap blue remote wire onto the blue lead out of the headunit and that will be your amp turn-on wire, run it to trunk.
attach terminal onto the power wire and connect it to the + of your battery and run to trunk.
attach terminal on ground wire and attach to chassis for ground.
connect all of the above wires on to amp!
hook subs up according to impedance and connect to amp. and you're done..i think
correct me if im wrong, but that should be the gist of it